Professor Delfim F. M. Torres

All Stories

1. 
   Homotopy Perturbation Method for Solving Fractal Linear and Nonlinear Schrodinger Equations

   Article • Communications in Nonlinear Science and Numerical Simulation, August 2026, Elsevier

   Professor Delfim F. M. Torres

2. 
   On the well-posedness and numerical approximation of a nonlocal thermistor problem

   Article • Communications in Nonlinear Science and Numerical Simulation, July 2026, Elsevier

   Professor Delfim F. M. Torres

3. 
   Black hole–inspired control of servo-hydraulic systems

   Article • Results in Engineering, June 2026, Elsevier

   Professor Delfim F. M. Torres

4. 
   Control of second $$\alpha $$-order systems using fractal PD and PID controllers

   Article • International Journal of Dynamics and Control, May 2026, Springer Science + Business Media

   Professor Delfim F. M. Torres, Prof Alireza Khalili Golmankhaneh

5. 
   PID Control of α-Order Systems in Fractal Time

   Article • Fractal and Fractional, April 2026, MDPI AG

   Professor Delfim F. M. Torres, Prof Alireza Khalili Golmankhaneh

6. 
   Digital Twin-Enabled Business Innovation Within and Beyond the Firm: A Systematic Literature Review and Innovation Typology

   Article • Systems, April 2026, MDPI AG

   Professor Delfim F. M. Torres

7. 
   Fractional-order modeling of a flow rate measurement system utilizing Grünwald–Letnikov based optimization

   Article • Measurement, April 2026, Elsevier

   Professor Delfim F. M. Torres

8. 
   The Regional Boundary Reconstruction Problem of the Initial State for Fractional Semilinear Systems

   Article • International Journal of Applied and Computational Mathematics, March 2026, Springer Science + Business Media

   Professor Delfim F. M. Torres

9. 
   Analysis of a New Mathematical Model for Epidemic Fear Propagation Under Media Influence

   Article • International Journal of Applied and Computational Mathematics, February 2026, Springer Science + Business Media

   Professor Delfim F. M. Torres

10. 
    EXACT SOLUTION FOR A QUANTUM SIR MODEL

    Article • Journal of Mathematical Sciences, January 2026, Springer Science + Business Media

    Professor Delfim F. M. Torres

11. 
    Dynamic Analysis and Optimal Prevention Strategies for Monkeypox Spread Modeled via the Mittag–Leffler Kernel

    Article • Fractal and Fractional, January 2026, MDPI AG

    Professor Delfim F. M. Torres

12. 
    Logistic equation on time scales

    Article • Examples and Counterexamples, December 2025, Elsevier

    Professor Delfim F. M. Torres

13. 
    Evaluating the effectiveness of stochastic CTMC and deterministic models in correlating rabies persistence in human and dog populations

    Article • Franklin Open, December 2025, Elsevier

    Professor Delfim F. M. Torres

14. 
    Modeling and Transmission Dynamics of a Stochastic Fractional Delay Cervical Cancer Model with Efficient Numerical Analysis

    Article • Axioms, September 2025, MDPI AG

    Professor Delfim F. M. Torres

15. 
    Optimization of Endocrine and p53 Combination Therapies in Estrogen-Receptor Positive Breast Cancer Treatment

    Article • International Journal of Biomathematics, September 2025, World Scientific Pub Co Pte Lt

    Professor Delfim F. M. Torres

16. 
    A consistent SIR model on time scales with exact solution

    Article • Nonlinear Dynamics, September 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

17. 
    Analysis of a Shear beam model with suspenders in thermoelasticity of type III

    Article • Journal of Computational and Applied Mathematics, August 2025, Elsevier

    Professor Delfim F. M. Torres

18. 
    Existence and uniqueness of mild solutions for a class of psi-Caputo time-fractional systems of order from one to two

    Article • Fractional Calculus and Applied Analysis, August 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

19. 
    Gradient Mittag-Leffler and strong stabilizability of time fractional diffusion processes

    Article • Journal of Mathematical Sciences, April 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

20. 
    Controllability and observability of tempered fractional differential systems

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2025, Elsevier

    Professor Delfim F. M. Torres

21. 
    Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals

    Article • Mathematical Biosciences, February 2025, Elsevier

    Professor Delfim F. M. Torres

22. 
    A model for the dynamics of COVID-19 infection transmission in human with latent delay

    Article • Afrika Matematika, January 2025, Springer Science + Business Media

    Professor Delfim F. M. Torres

23. 
    Exact solution for a discrete-time SIR model

    Article • Applied Numerical Mathematics, January 2025, Elsevier

    Professor Delfim F. M. Torres

24. 
    A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs With Environmental Effects

    Article • Journal of Applied Mathematics, January 2025, Wiley

    Professor Delfim F. M. Torres

25. 
    Parameters estimation and uncertainty assessment in the transmission dynamics of rabies in humans and dogs

    Article • Chaos Solitons & Fractals, December 2024, Elsevier

    Professor Delfim F. M. Torres

26. 
    Optimal Control of Microcephaly Under Vertical Transmission of Zika

    Article • Axioms, November 2024, MDPI AG

    Professor Delfim F. M. Torres

27. 
    Next-generation chemotherapy treatments based on black hole algorithms: From cancer remission to chronic disease management

    Article • Computers in Biology and Medicine, September 2024, Elsevier

    Prof. Hélder Santos, Professor Delfim F. M. Torres

28. 
    Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system

    Article • Chaos Solitons & Fractals, July 2024, Elsevier

    Professor Delfim F. M. Torres

29. 
    The Duality Theory of Fractional Calculus and a New Fractional Calculus of Variations Involving Left Operators Only

    Article • Mediterranean Journal of Mathematics, April 2024, Springer Science + Business Media

    Professor Delfim F. M. Torres

30. 
    Boundary controllability of Riemann–Liouville fractional semilinear equations

    Article • Communications in Nonlinear Science and Numerical Simulation, April 2024, Elsevier

    Professor Delfim F. M. Torres

31. 
    Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms

    Article • Chaos Solitons & Fractals, April 2024, Elsevier

    Professor Delfim F. M. Torres

32. 
    A necessary optimality condition for extended weighted generalized fractional optimal control problems

    Article • Results in Control and Optimization, March 2024, Elsevier

    Professor Delfim F. M. Torres

33. 
    Modeling blood alcohol concentration using fractional differential equations based on the ψ‐Caputo derivative

    Article • Mathematical Methods in the Applied Sciences, February 2024, Wiley

    Professor Delfim F. M. Torres

34. 
    Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane Contact Problems

    Article • Mathematics, January 2024, MDPI AG

    Professor Delfim F. M. Torres

35. 
    A class of fractional differential equations via power non-local and non-singular kernels: Existence, uniqueness and numerical approximations

    Article • Physica D Nonlinear Phenomena, January 2024, Elsevier

    Professor Delfim F. M. Torres

36. 
    Fractional calculi on time scales: differentiation and integration of a function with respect to another function

    Article • January 2024, Elsevier

    Professor Delfim F. M. Torres

37. 
    Uniform stability of dynamic SICA HIV transmission models on time scales

    Article • Applicationes Mathematicae, January 2024, Institute of Mathematics, Polish Academy of Sciences

    Professor Delfim F. M. Torres

38. 
    Finite time stability of tempered fractional systems with time delays

    Article • Chaos Solitons & Fractals, December 2023, Elsevier

    Professor Delfim F. M. Torres

39. 
    Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives

    Article • Computers in Biology and Medicine, December 2023, Elsevier

    Professor Delfim F. M. Torres

40. 
    On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs

    Article • Symmetry, October 2023, MDPI AG

    Professor Delfim F. M. Torres

41. 
    Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems

    Article • Mathematics, October 2023, MDPI AG

    Professor Delfim F. M. Torres

42. 
    Advanced Mathematical Analysis and its Applications

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

43. 
    Existence and Uniqueness of Solutions to Proper Fractional Riemann-Liouville Initial Value Problems on Time Scales

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

44. 
    Stability Analysis of Lotka-Volterra Models

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

45. 
    The Lotka-Volterra Dynamical System and Its Discretization

    Article • September 2023, Taylor & Francis

    Professor Delfim F. M. Torres

46. 
    An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia

    Article • Axioms, September 2023, MDPI AG

    Professor Delfim F. M. Torres

47. 
    Generalized Taylor’s formula for power fractional derivatives

    Article • Boletín de la Sociedad Matemática Mexicana, September 2023, Springer Science + Business Media

    Professor Delfim F. M. Torres

48. 
    Optimal control for a nonlinear stochastic PDE model of cancer growth

    Article • Optimization, July 2023, Taylor & Francis

    Professor Delfim F. M. Torres

49. 
    Mathematical Models and Optimal Control in Mosquito Transmitted Diseases

    Article • June 2023, Taylor & Francis

    Professor Delfim F. M. Torres

50. 
    Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets

    Article • Mathematics, May 2023, MDPI AG

    Professor Delfim F. M. Torres

51. 
    Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory

    Article • Axioms, April 2023, MDPI AG

    Professor Delfim F. M. Torres

52. 
    Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation among Prey Species

    Article • Mathematics, March 2023, MDPI AG

    Professor Delfim F. M. Torres

53. 
    Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB

    Article • Mathematics, March 2023, MDPI AG

    Professor Delfim F. M. Torres

54. 
    Existence, uniqueness, and controllability for Hilfer differential equations on times scales

    Article • Mathematical Methods in the Applied Sciences, March 2023, Wiley

    Professor Delfim F. M. Torres

55. 
    An integral boundary fractional model to the world population growth

    Article • Chaos Solitons & Fractals, March 2023, Elsevier

    Professor Delfim F. M. Torres

56. 
    Regional gradient observability for fractional differential equations with Caputo time-fractional derivatives

    Article • International Journal of Dynamics and Control, February 2023, Springer Science + Business Media

    Professor Delfim F. M. Torres

57. 
    Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects

    Article • Fractal and Fractional, January 2023, MDPI AG

    Professor Delfim F. M. Torres

58. 
    Comment on “Noether’s-type theorems on time scales” [J. Math. Phys. 61, 113502 (2020)]

    Article • Journal of Mathematical Physics, January 2023, American Institute of Physics

    Professor Delfim F. M. Torres

59. 
    Existence result of the global attractor for a triply nonlinear thermistor problem

    Article • Moroccan Journal of Pure and Applied Analysis, January 2023, De Gruyter

    Professor Delfim F. M. Torres

60. 
    Weak Pontryagin's maximum principle for optimal control problems involving a general analytic kernel

    Article • January 2023, Elsevier

    Professor Delfim F. M. Torres

61. 
    Regional Controllability and Minimum Energy Control of Delayed Caputo Fractional-Order Linear Systems

    Article • Mathematics, December 2022, MDPI AG

    Professor Delfim F. M. Torres

62. 
    Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method

    Article • Mathematical Methods in the Applied Sciences, November 2022, Wiley

    Professor Delfim F. M. Torres

63. 
    Complex network model for COVID-19: Human behavior, pseudo-periodic solutions and multiple epidemic waves

    Article • Journal of Mathematical Analysis and Applications, October 2022, Elsevier

    Professor Delfim F. M. Torres

64. 
    The Power Fractional Calculus: First Definitions and Properties with Applications to Power Fractional Differential Equations

    Article • Mathematics, October 2022, MDPI AG

    Professor Delfim F. M. Torres

65. 
    Stability Analysis of Delayed COVID-19 Models

    Article • Axioms, August 2022, MDPI AG

    Professor Delfim F. M. Torres

66. 
    Study of a Fractional Creep Problem with Multiple Delays in Terms of Boltzmann’s Superposition Principle

    Article • Fractal and Fractional, August 2022, MDPI AG

    Professor Delfim F. M. Torres

67. 
    Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces

    Article • Axioms, July 2022, MDPI AG

    Ahmed Aberqi, Professor Delfim F. M. Torres

68. 
    Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space

    Article • Axioms, June 2022, MDPI AG

    Professor Delfim F. M. Torres

69. 
    Taylor’s Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels

    Article • Axioms, May 2022, MDPI AG

    Professor Delfim F. M. Torres

70. 
    Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

    Article • Axioms, April 2022, MDPI AG

    Professor Delfim F. M. Torres

71. 
    Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal

    Article • Axioms, April 2022, MDPI AG

    Professor Delfim F. M. Torres

72. 
    On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory

    Article • AIMS Mathematics, January 2022, American Institute of Mathematical Sciences (AIMS)

    Prof Jehad Alzabut, Professor Delfim F. M. Torres

73. 
    Mathematical analysis, forecasting and optimal control of HIV/AIDS spatiotemporal transmission with a reaction diffusion SICA model

    Article • AIMS Mathematics, January 2022, Tsinghua University Press

    Professor Delfim F. M. Torres

74. 
    A Note On a Prey-Predator Model with Constant-Effort Harvesting

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

75. 
    A SIQRB delayed model for cholera and optimal control treatment

    Article • Mathematical Modelling of Natural Phenomena, January 2022, EDP Sciences

    Professor Delfim F. M. Torres

76. 
    A Stochastic Capital-Labour Model with Logistic Growth Function

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

77. 
    Dynamic Control and Optimization

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

78. 
    Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response

    Article • January 2022, Springer Science + Business Media

    Professor Delfim F. M. Torres

79. 
    Near-optimal control of a stochastic SICA model with imprecise parameters

    Article • Communications in Optimization Theory, January 2022, Mathematical Research Press

    Professor Delfim F. M. Torres

80. 
    Necessary optimality conditions of a reaction-diffusion SIR model with ABC fractional derivatives

    Article • Discrete and Continuous Dynamical Systems - S, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

81. 
    Optimal control of an HIV model with a trilinear antibody growth function

    Article • Discrete and Continuous Dynamical Systems - S, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Delfim F. M. Torres

82. 
    Transport and optimal control of vaccination dynamics for COVID-19

    Article • January 2022, Elsevier

    Professor Delfim F. M. Torres

83. 
    Fractional-Order Modelling and Optimal Control of Cholera Transmission

    Article • Fractal and Fractional, December 2021, MDPI AG

    Professor Delfim F. M. Torres

84. 
    A non-Newtonian Noether's symmetry theorem

    Article • Applicable Analysis, December 2021, Taylor & Francis

    Professor Delfim F. M. Torres

85. 
    Optimal control of a heroin epidemic mathematical model

    Article • Optimization, December 2021, Taylor & Francis

    Professor Delfim F. M. Torres

86. 
    Nabla Fractional Derivative and Fractional Integral on Time Scales

    Article • Axioms, November 2021, MDPI AG

    Professor Delfim F. M. Torres, hijaz ahmad

87. 
    A Discrete-Time Compartmental Epidemiological Model for COVID-19 with a Case Study for Portugal

    Article • Axioms, November 2021, MDPI AG

    Professor Delfim F. M. Torres

88. 
    Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials

    Article • Fractal and Fractional, November 2021, MDPI AG

    Professor Delfim F. M. Torres

89. 
    Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application

    Article • Axioms, November 2021, MDPI AG

    Professor Delfim F. M. Torres

90. 
    Cauchy’s formula on nonempty closed sets and a new notion of Riemann–Liouville fractional integral on time scales

    Article • Applied Mathematics Letters, November 2021, Elsevier

    Professor Delfim F. M. Torres

91. 
    Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels

    Article • Mathematics, September 2021, MDPI AG

    Professor Delfim F. M. Torres

92. 
    Pontryagin Maximum Principle for Distributed-Order Fractional Systems

    Article • Mathematics, August 2021, MDPI AG

    Professor Delfim F. M. Torres

93. 
    On a Non-Newtonian Calculus of Variations

    Article • Axioms, July 2021, MDPI AG

    Professor Delfim F. M. Torres

94. 
    Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal

    Article • Axioms, June 2021, MDPI AG

    Professor Delfim F. M. Torres

95. 
    Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

    Article • Fractal and Fractional, March 2021, MDPI AG

    Professor Delfim F. M. Torres

96. 
    Fractional model of COVID-19 applied to Galicia, Spain and Portugal

    Article • Chaos Solitons & Fractals, March 2021, Elsevier

    Professor Delfim F. M. Torres

97. 
    Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal

    Article • Scientific Reports, February 2021, Springer Science + Business Media

    Professor Delfim F. M. Torres

98. 
    Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations

    Article • Axioms, February 2021, MDPI AG

    Professor Delfim F. M. Torres

99. 
    Focus point: cancer and HIV/AIDS dynamics—from optimality to modelling

    Article • The European Physical Journal Plus, February 2021, Springer Science + Business Media

    Professor Delfim F. M. Torres

100. 
     Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate

     Article • The European Physical Journal Plus, January 2021, Springer Science + Business Media

     Professor Delfim F. M. Torres

101. 
     Optimal Control of Vaccination and Plasma Transfusion with Potential Usefulness for Covid-19

     Article • January 2021, Springer Science + Business Media

     Professor Delfim F. M. Torres

102. 
     A New Compartmental Epidemiological Model for COVID-19 with a Case Study of Portugal

     Article • Ecological Complexity, December 2020, Elsevier

     Professor Delfim F. M. Torres

103. 
     Lyapunov functions for fractional-order systems in biology: Methods and applications

     Article • Chaos Solitons & Fractals, November 2020, Elsevier

     Professor Delfim F. M. Torres, Professor Khalid Hattaf

104. 
     Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects

     Article • Mathematics, October 2020, MDPI AG

     Professor Delfim F. M. Torres

105. 
     Distributed-Order Non-Local Optimal Control

     Article • Axioms, October 2020, MDPI AG

     Professor Delfim F. M. Torres

106. 
     Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems

     Article • Axioms, October 2020, MDPI AG

     Professor Delfim F. M. Torres

107. 
     Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets

     Article • Numerical Algorithms, September 2020, Springer Science + Business Media

     Professor Delfim F. M. Torres

108. 
     Corrigendum to “Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan” [Chaos Solitons Fractals 135 (2020), 109846]

     Article • Chaos Solitons & Fractals, September 2020, Elsevier

     Professor Delfim F. M. Torres

109. 
     A Stochastic Fractional Calculus with Applications to Variational Principles

     Article • Fractal and Fractional, August 2020, MDPI AG

     Professor Delfim F. M. Torres

110. 
     Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan

     Article • Chaos Solitons & Fractals, June 2020, Elsevier

     Professor Delfim F. M. Torres

111. 
     Optimal Control of Aquatic Diseases: A Case Study of Yemen’s Cholera Outbreak

     Article • Journal of Optimization Theory and Applications, May 2020, Springer Science + Business Media

     Professor Delfim F. M. Torres

112. 
     Enlarged Controllability and Optimal Control of Sub-Diffusion Processes with Caputo Fractional Derivatives

     Article • Progress in Fractional Differentiation and Applications, April 2020, Natural Sciences Publishing

     Professor Delfim F. M. Torres

113. 
     Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate

     Article • Mathematics in Computer Science, March 2020, Springer Science + Business Media

     Professor Delfim F. M. Torres

114. 
     The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems

     Article • Mathematics, March 2020, MDPI AG

     Professor Delfim F. M. Torres

115. 
     A new spectral method based on two classes of hat functions for solving systems of fractional differential equations and an application to respiratory syncytial virus infection

     Article • Soft Computing, January 2020, Springer Science + Business Media

     Professor Delfim F. M. Torres

116. 
     A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy

     Article • Mathematical Modelling of Natural Phenomena, January 2020, EDP Sciences

     Professor Delfim F. M. Torres

117. 
     Errata to "Modeling and optimal control of HIV/AIDS prevention through PrEP", Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 1,119–141

     Article • Discrete and Continuous Dynamical Systems - S, January 2020, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

118. 
     On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions

     Article • Mathematical Inequalities & Applications, January 2020, Element d.o.o.

     Professor Delfim F. M. Torres

119. 
     Numerical Optimal Control of HIV Transmission in Octave/MATLAB

     Article • Mathematical and Computational Applications, December 2019, MDPI AG

     Professor Delfim F. M. Torres

120. 
     Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations

     Article • Chaos Solitons & Fractals, November 2019, Elsevier

     Professor Delfim F. M. Torres

121. 
     Stability of a fractional HIV/AIDS model

     Article • Mathematics and Computers in Simulation, October 2019, Elsevier

     Professor Delfim F. M. Torres

122. 
     A finite element approximation for a class of Caputo time-fractional diffusion equations

     Article • Computers & Mathematics with Applications, September 2019, Elsevier

     Professor Delfim F. M. Torres

123. 
     Analysis of a SIRI Epidemic Model with Distributed Delay and Relapse

     Article • Statistics Optimization & Information Computing, August 2019, International Academic Press

     Professor Delfim F. M. Torres

124. 
     Solutions of systems with the Caputo–Fabrizio fractional delta derivative on time scales

     Article • Nonlinear Analysis Hybrid Systems, May 2019, Elsevier

     Professor Delfim F. M. Torres

125. 
     Exact solution to a dynamic SIR model

     Article • Nonlinear Analysis Hybrid Systems, May 2019, Elsevier

     Professor Delfim F. M. Torres

126. 
     A numerical approach for solving fractional optimal control problems using modified hat functions

     Article • Communications in Nonlinear Science and Numerical Simulation, May 2019, Elsevier

     Professor Delfim F. M. Torres

127. 
     Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives

     Article • Computers & Mathematics with Applications, April 2019, Elsevier

     Professor Delfim F. M. Torres

128. 
     Functional characterizations of trace spaces in Lipschitz domains

     Article • Banach Journal of Mathematical Analysis, April 2019, Springer Science + Business Media

     Professor Delfim F. M. Torres

129. 
     A collocation method of lines for two‐sided space‐fractional advection‐diffusion equations with variable coefficients

     Article • Mathematical Methods in the Applied Sciences, March 2019, Wiley

     Professor Delfim F. M. Torres

130. 
     A survey on fractional variational calculus

     Article • February 2019, De Gruyter

     Professor Delfim F. M. Torres

131. 
     Analysis of fractional integro-differential equations of thermistor type

     Article • February 2019, De Gruyter

     Professor Delfim F. M. Torres

132. 
     Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations

     Article • January 2019, Springer Science + Business Media

     Professor Delfim F. M. Torres

133. 
     Optimal Impulse Control of Dynamical Systems

     Article • SIAM Journal on Control and Optimization, January 2019, Society for Industrial & Applied Mathematics (SIAM)

     Professor Delfim F. M. Torres

134. 
     The Variable-Order Fractional Calculus of Variations

     Article • January 2019, Springer Science + Business Media

     Dina Tavares, Professor Delfim F. M. Torres

135. 
     A sufficient optimality condition for delayed state-linear optimal control problems

     Article • Discrete and Continuous Dynamical Systems - B, January 2019, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

136. 
     The spread of a financial virus through Europe and beyond

     Article • AIMS Mathematics, January 2019, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

137. 
     Time-Fractional Optimal Control of Initial Value Problems on Time Scales

     Article • January 2019, Springer Science + Business Media

     Professor Delfim F. M. Torres, Prof.Dr. G.M Bahaa

138. 
     Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

     Article • Chaos Solitons & Fractals, December 2018, Elsevier

     Professor Delfim F. M. Torres

139. 
     Fractional Order Version of the Hamilton–Jacobi–Bellman Equation

     Article • Journal of Computational and Nonlinear Dynamics, November 2018, ASME International

     Professor Delfim F. M. Torres

140. 
     A space–time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives

     Article • Journal of Vibration and Control, November 2018, SAGE Publications

     Professor Delfim F. M. Torres, Mostafa Shamsi

141. 
     A stochastic SICA epidemic model for HIV transmission

     Article • Applied Mathematics Letters, October 2018, Elsevier

     Professor Delfim F. M. Torres

142. 
     Existence theorems for a nonlinear second-order distributional differential equation

     Article • Journal of King Saud University - Science, October 2018, Elsevier

     Professor Delfim F. M. Torres

143. 
     Some inequalities for interval-valued functions on time scales

     Article • Soft Computing, September 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres

144. 
     Enlarged Controllability of Riemann–Liouville Fractional Differential Equations

     Article • Journal of Computational and Nonlinear Dynamics, July 2018, ASME International

     Professor Delfim F. M. Torres

145. 
     Expansion Formulas for Fractional Derivatives

     Article • June 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres, Dina Tavares

146. 
     Fractional Calculus

     Article • June 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres, Dina Tavares

147. 
     The Calculus of Variations

     Article • June 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres, Dina Tavares

148. 
     The Fractional Calculus of Variations

     Article • June 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres, Dina Tavares

149. 
     Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems

     Article • Communications in Nonlinear Science and Numerical Simulation, May 2018, Elsevier

     Professor Delfim F. M. Torres

150. 
     Existence of solution to a nonlocal conformable fractional thermistor problem

     Article • Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, April 2018, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

     Professor Delfim F. M. Torres

151. 
     Structural derivatives on time scales

     Article • Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, April 2018, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

     Professor Delfim F. M. Torres

152. 
     Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response

     Article • Mathematics in Computer Science, February 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres

153. 
     A simple mathematical model for unemployment: a case study in Portugal with optimal control

     Article • Statistics Optimization & Information Computing, February 2018, International Academic Press

     Professor Delfim F. M. Torres

154. 
     Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida

     Article • Statistics Optimization & Information Computing, February 2018, International Academic Press

     Professor Delfim F. M. Torres

155. 
     The Cape Verde International Days on Mathematics 2017

     Article • Statistics Optimization & Information Computing, February 2018, International Academic Press

     Professor Delfim F. M. Torres

156. 
     Uniform asymptotic stability of a fractional tuberculosis model

     Article • Mathematical Modelling of Natural Phenomena, January 2018, EDP Sciences

     Professor Delfim F. M. Torres

157. 
     Banking Risk as an Epidemiological Model: An Optimal Control Approach

     Article • January 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres

158. 
     Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities

     Article • Opuscula Mathematica, January 2018, AGHU University of Science and Technology Press

     Professor Delfim F. M. Torres

159. 
     Optimal control of non-autonomous SEIRS models with vaccination and treatment

     Article • Discrete and Continuous Dynamical Systems - S, January 2018, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

160. 
     The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales

     Article • January 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres

161. 
     A cholera mathematical model with vaccination and the biggest outbreak of world’s history

     Article • AIMS Mathematics, January 2018, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

162. 
     Enhancement of chemotherapy using oncolytic virotherapy: Mathematical and optimal control analysis

     Article • Mathematical Biosciences & Engineering, January 2018, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

163. 
     Novel Results on Hermite–Hadamard Kind Inequalities for $$\eta $$-Convex Functions by Means of (k, r)-Fractional Integral Operators

     Article • January 2018, Springer Science + Business Media

     Professor Delfim F. M. Torres

164. 
     Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

     Article • Mathematical Methods in the Applied Sciences, December 2017, Wiley

     Professor Delfim F. M. Torres

165. 
     The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country

     Article • Ricerche di Matematica, December 2017, Springer Science + Business Media

     Professor Delfim F. M. Torres

166. 
     Generalized fractional operators on time scales with application to dynamic equations

     Article • The European Physical Journal Special Topics, December 2017, Springer Science + Business Media

     Professor Delfim F. M. Torres

167. 
     Global existence of solutions for a fractional Caputo nonlocal thermistor problem

     Article • Advances in Difference Equations, November 2017, Springer Science + Business Media

     Professor Delfim F. M. Torres

168. 
     A necessary condition of Pontryagin type for fuzzy fractional optimal control problems

     Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

169. 
     Fractional Herglotz variational problems of variable order

     Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres, Dina Tavares

170. 
     Modeling and optimal control of HIV/AIDS prevention through PrEP

     Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

171. 
     Noether currents for higher-order variational problems of Herglotz type with time delay

     Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

172. 
     Preface

     Article • Discrete and Continuous Dynamical Systems - S, October 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

173. 
     Optimal control of a delayed HIV model

     Article • Discrete and Continuous Dynamical Systems - B, October 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

174. 
     A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

     Article • Journal of Computational and Applied Mathematics, September 2017, Elsevier

     Professor Delfim F. M. Torres

175. 
     A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives

     Article • Chaos Solitons & Fractals, September 2017, Elsevier

     Professor Delfim F. M. Torres

176. 
     Fractional Herglotz variational principles with generalized Caputo derivatives

     Article • Chaos Solitons & Fractals, September 2017, Elsevier

     Professor Delfim F. M. Torres

177. 
     On a Fractional Oscillator Equation with Natural Boundary Conditions

     Article • Progress in Fractional Differentiation and Applications, July 2017, Natural Sciences Publishing

     Rabah Khaldi, Professor Delfim F. M. Torres

178. 
     A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde

     Article • Ecological Complexity, June 2017, Elsevier

     Professor Delfim F. M. Torres

179. 
     Ebola model and optimal control with vaccination constraints

     Article • Journal of Industrial & Management Optimization, June 2017, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

180. 
     On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales

     Article • The Journal of Nonlinear Sciences and Applications, May 2017, International Scientific Research Publications MY SDN. BHD.

     Professor Delfim F. M. Torres

181. 
     Combined fractional variational problems of variable order and some computational aspects

     Article • Journal of Computational and Applied Mathematics, May 2017, Elsevier

     Professor Delfim F. M. Torres, Dina Tavares

182. 
     Lyapunov-type inequality for a fractional boundary value problem with natural conditions

     Article • SeMA Journal, April 2017, Springer Science + Business Media

     Professor Delfim F. M. Torres, Rabah Khaldi

183. 
     Variational calculus with conformable fractional derivatives

     Article • IEEE/CAA Journal of Automatica Sinica, April 2017, Institute of Electrical & Electronics Engineers (IEEE)

     Professor Delfim F. M. Torres

184. 
     Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem

     Article • Computational and Applied Mathematics, March 2017, Springer Science + Business Media

     Professor Delfim F. M. Torres

185. 
     Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations

     Article • Fundamenta Informaticae, March 2017, IOS Press

     Professor Delfim F. M. Torres, Professor Yudong Zhang, Prof. Dr. Hari Mohan Srivastava, Xiao-Jun Yang

186. 
     A generalized Lyapunov’s inequality for a fractional boundary value problem

     Article • Journal of Computational and Applied Mathematics, March 2017, Elsevier

     Professor Delfim F. M. Torres

187. 
     Existence of solution to a local fractional nonlinear differential equation

     Article • Journal of Computational and Applied Mathematics, March 2017, Elsevier

     Professor Delfim F. M. Torres

188. 
     Existence and uniqueness results for a fractional Riemann–Liouville nonlocal thermistor problem on arbitrary time scales

     Article • Journal of King Saud University - Science, March 2017, Elsevier

     Professor Delfim F. M. Torres

189. 
     Optimal Spraying in Biological Control of Pests

     Article • Mathematical Modelling of Natural Phenomena, January 2017, EDP Sciences

     Professor Delfim F. M. Torres

190. 
     Constrained fractional variational problems of variable order

     Article • IEEE/CAA Journal of Automatica Sinica, January 2017, Institute of Electrical & Electronics Engineers (IEEE)

     Professor Delfim F. M. Torres, Dina Tavares

191. 
     Direct and Inverse Variational Problems on Time Scales: A Survey

     Article • January 2017, Springer Science + Business Media

     Professor Delfim F. M. Torres

192. 
     Hyperchaotic Fractional-Order Systems and Their Applications

     Article • Complexity, January 2017, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres, Dr. Sachin Bhalekar

193. 
     Mathematical Modeling and Control of Infectious Diseases

     Article • Computational and Mathematical Methods in Medicine, January 2017, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres, IL HYO JUNG, Prof John T Ellis

194. 
     Generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function

     Article • Journal of Mathematical Inequalities, January 2017, Element d.o.o.

     Professor Delfim F. M. Torres

195. 
     General fractional-order anomalous diffusion with non-singular power-law kernel

     Article • Thermal Science, January 2017, National Library of Serbia

     Professor Delfim F. M. Torres

196. 
     Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales

     Article • Arabian Journal of Mathematics, December 2016, Springer Science + Business Media

     Professor Delfim F. M. Torres

197. 
     An epidemic model for cholera with optimal control treatment

     Article • Journal of Computational and Applied Mathematics, November 2016, Elsevier

     Professor Delfim F. M. Torres

198. 
     Approximated analytical solution to an Ebola optimal control problem

     Article • International Journal for Computational Methods in Engineering Science and Mechanics, October 2016, Taylor & Francis

     Professor Delfim F. M. Torres

199. 
     Exponentials and Laplace transforms on nonuniform time scales

     Article • Communications in Nonlinear Science and Numerical Simulation, October 2016, Elsevier

     Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Delfim F. M. Torres

200. 
     Optimal control of a tuberculosis model with state and control delays

     Article • Mathematical Biosciences and Engineering, October 2016, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

201. 
     Linear and Nonlinear Fractional Voigt Models

     Article • August 2016, Springer Science + Business Media

     Professor Delfim F. M. Torres

202. 
     Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences

     Article • Arab Journal of Mathematical Sciences, July 2016, Elsevier

     Professor Delfim F. M. Torres

203. 
     Caputo derivatives of fractional variable order: Numerical approximations

     Article • Communications in Nonlinear Science and Numerical Simulation, June 2016, Elsevier

     Professor Delfim F. M. Torres, Dina Tavares

204. 
     Galerkin spectral method for the fractional nonlocal thermistor problem

     Article • Computers & Mathematics with Applications, June 2016, Elsevier

     Professor Delfim F. M. Torres

205. 
     Dynamics and Optimal Control of Ebola Transmission

     Article • Mathematics in Computer Science, April 2016, Springer Science + Business Media

     Professor Delfim F. M. Torres

206. 
     Predicting and controlling the Ebola infection

     Article • Mathematical Methods in the Applied Sciences, February 2016, Wiley

     Professor Delfim F. M. Torres

207. 
     A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems

     Article • Journal of Optimization Theory and Applications, February 2016, Springer Science + Business Media

     Professor Delfim F. M. Torres

208. 
     Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus

     Article • Discrete Dynamics in Nature and Society, January 2016, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

209. 
     Complex-Valued Fractional Derivatives on Time Scales

     Article • January 2016, Springer Science + Business Media

     Professor Delfim F. M. Torres

210. 
     A Hukuhara approach to the study of hybrid fuzzy systems on time scales

     Article • Applicable Analysis and Discrete Mathematics, January 2016, National Library of Serbia

     Professor Delfim F. M. Torres

211. 
     A conformable fractional calculus on arbitrary time scales

     Article • Journal of King Saud University - Science, January 2016, Elsevier

     Professor Delfim F. M. Torres

212. 
     Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales

     Article • Journal of King Saud University - Science, January 2016, Elsevier

     Professor Delfim F. M. Torres

213. 
     Stability and optimal control of a delayed HIV model

     Article • Mathematical Methods in the Applied Sciences, January 2016, Wiley

     Professor Delfim F. M. Torres

214. 
     Coexistence of two dengue virus serotypes and forecasting for Madeira Island

     Article • Operations Research for Health Care, December 2015, Elsevier

     Professor Delfim F. M. Torres

215. 
     Noether's theorem for higher-order variational problems of Herglotz type

     Article • November 2015, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

216. 
     Multiobjective approach to optimal control for a dengue transmission model

     Article • Statistics Optimization & Information Computing, August 2015, International Academic Press

     Professor Delfim F. M. Torres

217. 
     Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations

     Article • Journal of Optimization Theory and Applications, April 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

218. 
     Computing Hadamard type operators of variable fractional order

     Article • Applied Mathematics and Computation, April 2015, Elsevier

     Professor Delfim F. M. Torres

219. 
     Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure

     Article • Applied Mathematics and Computation, April 2015, Elsevier

     Professor Delfim F. M. Torres

220. 
     Solving Abel integral equations of first kind via fractional calculus

     Article • Journal of King Saud University - Science, April 2015, Elsevier

     Professor Delfim F. M. Torres

221. 
     A TB-HIV/AIDS coinfection model and optimal control treatment

     Article • Discrete and Continuous Dynamical Systems, April 2015, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

222. 
     Variational problems of Herglotz type with time delay: DuBois--Reymond condition and Noether's first theorem

     Article • Discrete and Continuous Dynamical Systems, April 2015, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

223. 
     Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets

     Article • Mathematical Methods in the Applied Sciences, March 2015, Wiley

     Professor Delfim F. M. Torres

224. 
     Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order

     Article • Optimization, February 2015, Taylor & Francis

     Professor Delfim F. M. Torres, Dina Tavares

225. 
     Multiobjective approach to optimal control for a tuberculosis model

     Article • Optimization Methods and Software, February 2015, Taylor & Francis

     Professor Delfim F. M. Torres

226. 
     A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration

     Article • Signal Processing, February 2015, Elsevier

     Professor Delfim F. M. Torres

227. 
     Duality for the left and right fractional derivatives

     Article • Signal Processing, February 2015, Elsevier

     Professor Delfim F. M. Torres

228. 
     Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions

     Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

     Professor Delfim F. M. Torres, Amar Debbouche

229. 
     Advanced Methods in the Fractional Calculus of Variations

     Article • January 2015

     Professor Delfim F. M. Torres

230. 
     Introduction

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

231. 
     Conclusion

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

232. 
     Fractional Calculus

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

233. 
     Fractional Calculus of Variations

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

234. 
     Direct Methods in Fractional Calculus of Variations

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

235. 
     Standard Methods in Fractional Variational Calculus

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

236. 
     Application to the Sturm–Liouville Problem

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

237. 
     Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa

     Article • Discrete Dynamics in Nature and Society, January 2015, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

238. 
     An Optimal Control Approach to Herglotz Variational Problems

     Article • January 2015, Springer Science + Business Media

     Professor Delfim F. M. Torres

239. 
     The Diamond Integral on Time Scales

     Article • Bulletin of the Malaysian Mathematical Sciences Society, December 2014, Springer Science + Business Media

     Professor Delfim F. M. Torres

240. 
     Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control

     Article • Mathematical Methods in the Applied Sciences, December 2014, Wiley

     Professor Delfim F. M. Torres

241. 
     Computational Methods in the Fractional Calculus of Variations

     Article • October 2014, World Scientific Pub Co Pte Lt

     Professor Delfim F. M. Torres

242. 
     Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis

     Article • The Bulletin of Mathematical Biophysics, September 2014, Springer Science + Business Media

     Professor Delfim F. M. Torres

243. 
     Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions

     Article • Applied Mathematics and Computation, September 2014, Elsevier

     Professor Delfim F. M. Torres

244. 
     Generalized fractional operators for nonstandard Lagrangians

     Article • Mathematical Methods in the Applied Sciences, August 2014, Wiley

     Professor Delfim F. M. Torres

245. 
     A discrete method to solve fractional optimal control problems

     Article • Nonlinear Dynamics, April 2014, Springer Science + Business Media

     Professor Delfim F. M. Torres

246. 
     The Legendre condition of the fractional calculus of variations

     Article • Optimization, January 2014, Taylor & Francis

     Professor Delfim F. M. Torres

247. 
     Quantum Variational Calculus

     Article • January 2014

     Professor Delfim F. M. Torres

248. 
     Vaccination models and optimal control strategies to dengue

     Article • Mathematical Biosciences, January 2014, Elsevier

     Professor Delfim F. M. Torres

249. 
     Fractional and Time-Scales Differential Equations

     Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

250. 
     A general delta-nabla calculus of variations on time scales with application to economics

     Article • International Journal of Dynamical Systems and Differential Equations, January 2014, Inderscience Publishers

     Professor Delfim F. M. Torres

251. 
     Necessary Condition for an Euler-Lagrange Equation on Time Scales

     Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

252. 
     Optimal Control with Time Delays via the Penalty Method

     Article • Mathematical Problems in Engineering, January 2014, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

253. 
     Modeling TB-HIV Syndemic and Treatment

     Article • Journal of Applied Mathematics, January 2014, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

254. 
     Conclusion

     Article • November 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

255. 
     The Classical Calculus of Variations

     Article • November 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

256. 
     The Power Quantum Calculus

     Article • November 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

257. 
     The Hahn Quantum Variational Calculus

     Article • November 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

258. 
     The Cape Verde International Days on Mathematics 2013

     Article • Conference Papers in Mathematics, November 2013, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

259. 
     Higher-Order Variational Problems of Herglotz Type

     Article • Vietnam Journal of Mathematics, November 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

260. 
     Fractional order optimal control problems with free terminal time

     Article • Journal of Industrial & Management Optimization, October 2013, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

261. 
     Control of a novel chaotic fractional order system using a state feedback technique

     Article • Mechatronics, October 2013, Elsevier

     Professor Delfim F. M. Torres

262. 
     Bioeconomic perspectives to an optimal control dengue model

     Article • International Journal of Computer Mathematics, October 2013, Taylor & Francis

     Professor Delfim F. M. Torres

263. 
     A discrete time method to the first variation of fractional order variational functionals

     Article • Open Physics, October 2013, De Gruyter

     Professor Delfim F. M. Torres

264. 
     Dengue in Cape Verde: Vector Control and Vaccination

     Article • Mathematical Population Studies, October 2013, Taylor & Francis

     Professor Delfim F. M. Torres

265. 
     Discrete direct methods in the fractional calculus of variations

     Article • Computers & Mathematics with Applications, September 2013, Elsevier

     Professor Delfim F. M. Torres

266. 
     Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces

     Article • International Journal of Control, September 2013, Taylor & Francis

     Professor Delfim F. M. Torres

267. 
     Fractional calculus of variations of several independent variables

     Article • The European Physical Journal Special Topics, September 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

268. 
     Sensitivity Analysis in a Dengue Epidemiological Model

     Article • Conference Papers in Mathematics, August 2013, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

269. 
     Optimal control for a tuberculosis model with reinfection and post-exposure interventions

     Article • Mathematical Biosciences, August 2013, Elsevier

     Professor Delfim F. M. Torres

270. 
     An Optimal Control Approach to Malaria Prevention via Insecticide-Treated Nets

     Article • Conference Papers in Mathematics, July 2013, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

271. 
     A Numerical Scheme to Solve Fractional Optimal Control Problems

     Article • Conference Papers in Mathematics, July 2013, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

272. 
     Optimal control strategies for reducing the number of active infected individuals with tuberculosis

     Article • July 2013, Society for Industrial & Applied Mathematics (SIAM)

     Professor Delfim F. M. Torres

273. 
     Fractional Isoperimetric Noether's Theorem in the Riemann–Liouville Sense

     Article • Reports on Mathematical Physics, June 2013, Elsevier

     Professor Delfim F. M. Torres

274. 
     Green’s theorem for generalized fractional derivatives

     Article • Fractional Calculus and Applied Analysis, March 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

275. 
     Symmetric differentiation on time scales

     Article • Applied Mathematics Letters, February 2013, Elsevier

     Professor Delfim F. M. Torres

276. 
     Noether’s theorem for non-smooth extremals of variational problems with time delay

     Article • Applicable Analysis, January 2013, Taylor & Francis

     Professor Delfim F. M. Torres

277. 
     Necessary optimality conditions for infinite horizon variational problems on time scales

     Article • Numerical Algebra Control & Optimization, January 2013, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

278. 
     Hahn's symmetric quantum variational calculus

     Article • Numerical Algebra Control & Optimization, January 2013, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

279. 
     Existence of Three Positive Solutions to Somep-Laplacian Boundary Value Problems

     Article • Discrete Dynamics in Nature and Society, January 2013, Hindawi Publishing Corporation

     Professor Delfim F. M. Torres

280. 
     Noether’s theorem for fractional variational problems of variable order

     Article • Open Physics, January 2013, De Gruyter

     Professor Delfim F. M. Torres

281. 
     A Symmetric Quantum Calculus

     Article • January 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

282. 
     A Symmetric Nörlund Sum with Application to Inequalities

     Article • January 2013, Springer Science + Business Media

     Professor Delfim F. M. Torres

283. 
     An Expansion Formula with Higher‐Order Derivatives for Fractional Operators of Variable Order

     Article • The Scientific World JOURNAL, January 2013, Wiley

     Professor Delfim F. M. Torres

284. 
     Variable order fractional variational calculus for double integrals

     Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

     Professor Delfim F. M. Torres

285. 
     Fractional Noether's theorem with classical and Riemann-Liouville derivatives

     Article • December 2012, Institute of Electrical & Electronics Engineers (IEEE)

     Professor Delfim F. M. Torres

286. 
     Optimal control of nonlocal thermistor equations

     Article • International Journal of Control, November 2012, Taylor & Francis

     Professor Delfim F. M. Torres

287. 
     The existence of solutions for dynamic inclusions on time scales via duality

     Article • Applied Mathematics Letters, November 2012, Elsevier

     Professor Delfim F. M. Torres

288. 
     Approximation of fractional integrals by means of derivatives

     Article • Computers & Mathematics with Applications, November 2012, Elsevier

     Professor Delfim F. M. Torres

289. 
     Generalized fractional calculus with applications to the calculus of variations

     Article • Computers & Mathematics with Applications, November 2012, Elsevier

     Professor Delfim F. M. Torres

290. 
     The DuBois–Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler–Lagrange Equation Involving Only Derivatives of Caputo

     Article • Journal of Optimization Theory and Applications, October 2012, Springer Science + Business Media

     Professor Delfim F. M. Torres

291. 
     Numerical approximations of fractional derivatives with applications

     Article • Asian Journal of Control, October 2012, Wiley

     Professor Delfim F. M. Torres

292. 
     Time scale differential, integral, and variational embeddings of Lagrangian systems

     Article • Computers & Mathematics with Applications, October 2012, Elsevier

     Professor Delfim F. M. Torres

293. 
     Higher-order infinite horizon variational problems in discrete quantum calculus

     Article • Computers & Mathematics with Applications, October 2012, Elsevier

     Professor Delfim F. M. Torres

294. 
     Optimal control strategies for tuberculosis treatment: A case study in Angola

     Article • Numerical Algebra Control & Optimization, August 2012, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

295. 
     Noether's symmetry Theorem for variational and optimal control problems with time delay

     Article • Numerical Algebra Control & Optimization, August 2012, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

296. 
     Towards a combined fractional mechanics and quantization

     Article • Fractional Calculus and Applied Analysis, June 2012, Springer Science + Business Media

     Professor Delfim F. M. Torres

297. 
     Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales

     Article • Journal of Optimization Theory and Applications, May 2012, Springer Science + Business Media

     Professor Delfim F. M. Torres

298. 
     Introduction to the Fractional Calculus of Variations

     Article • May 2012, World Scientific Pub Co Pte Lt

     Professor Delfim F. M. Torres

299. 
     Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative

     Article • Numerical Functional Analysis and Optimization, March 2012, Taylor & Francis

     Professor Delfim F. M. Torres

300. 
     The contingent epiderivative and the calculus of variations on time scales

     Article • Optimization, March 2012, Taylor & Francis

     Professor Delfim F. M. Torres

301. 
     Isoperimetric problems of the calculus of variations with fractional derivatives

     Article • Acta Mathematica Scientia, March 2012, Elsevier

     Professor Delfim F. M. Torres

302. 
     Fractional variational calculus with classical and combined Caputo derivatives

     Article • Nonlinear Analysis, February 2012, Elsevier

     Professor Delfim F. M. Torres

303. 
     Dengue disease, basic reproduction number and control

     Article • International Journal of Computer Mathematics, February 2012, Taylor & Francis

     Professor Delfim F. M. Torres

304. 
     Fractional variational problems depending on indefinite integrals

     Article • Nonlinear Analysis, February 2012, Elsevier

     Professor Delfim F. M. Torres

305. 
     Higher-order Hahn’s quantum variational calculus

     Article • Nonlinear Analysis, February 2012, Elsevier

     Professor Delfim F. M. Torres

306. 
     Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

     Article • Differential Equations & Applications, January 2012, Element d.o.o.

     Professor Delfim F. M. Torres

307. 
     Multiobjective fractional variational calculus in terms of a combined Caputo derivative

     Article • Applied Mathematics and Computation, January 2012, Elsevier

     Professor Delfim F. M. Torres

308. 
     Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

     Article • Abstract and Applied Analysis, January 2012, Wiley

     Professor Delfim F. M. Torres

309. 
     Receptor-based biomimetic NVP/DMA contact lenses for loading/eluting carbonic anhydrase inhibitors

     Article • Journal of Membrane Science, November 2011, Elsevier

     Dr Carmen Alvarez-Lorenzo, Professor Delfim F. M. Torres

310. 
     Nondifferentiable variational principles in terms of a quantum operator

     Article • Mathematical Methods in the Applied Sciences, November 2011, Wiley

     Professor Delfim F. M. Torres

311. 
     Fractional Euler–Lagrange Differential Equations via Caputo Derivatives

     Article • October 2011, Springer Science + Business Media

     Professor Delfim F. M. Torres

312. 
     Fractional calculus of variations for a combined Caputo derivative

     Article • Fractional Calculus and Applied Analysis, September 2011, Springer Science + Business Media

     Professor Delfim F. M. Torres

313. 
     Fractional variational calculus for nondifferentiable functions

     Article • Computers & Mathematics with Applications, May 2011, Elsevier

     Professor Delfim F. M. Torres

314. 
     Generalizing the variational theory on time scales to include the delta indefinite integral

     Article • Computers & Mathematics with Applications, May 2011, Elsevier

     Professor Delfim F. M. Torres

315. 
     Modified optimal energy and initial memory of fractional continuous-time linear systems

     Article • Signal Processing, March 2011, Elsevier

     Professor Delfim F. M. Torres

316. 
     Discrete-time fractional variational problems

     Article • Signal Processing, March 2011, Elsevier

     Professor Delfim F. M. Torres

317. 
     Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

     Article • Communications in Nonlinear Science and Numerical Simulation, March 2011, Elsevier

     Professor Delfim F. M. Torres

318. 
     Inequalities and majorisations for the Riemann-Stieltjes integral on time scales

     Article • Mathematical Inequalities & Applications, January 2011, Element d.o.o.

     Professor Delfim F. M. Torres

319. 
     Fractional h-difference equations arising from the calculus of variations

     Article • Applicable Analysis and Discrete Mathematics, January 2011, National Library of Serbia

     Professor Delfim F. M. Torres

320. 
     Guest Editorial

     Article • European Journal of Control, January 2011, Elsevier

     Professor Delfim F. M. Torres

321. 
     Fractional Derivatives in Dengue Epidemics

     Article • January 2011, American Institute of Physics

     Professor Delfim F. M. Torres

322. 
     The Second Euler-Lagrange Equation of Variational Calculus on Time Scales

     Article • European Journal of Control, January 2011, Elsevier

     Professor Delfim F. M. Torres

323. 
     Optimality conditions for the calculus of variations with higher-order delta derivatives

     Article • Applied Mathematics Letters, January 2011, Elsevier

     Professor Delfim F. M. Torres

324. 
     Necessary conditions for linear noncooperative N-player delta differential games on time scales

     Article • Discussiones Mathematicae Differential Inclusions Control and Optimization, January 2011, Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora

     Professor Delfim F. M. Torres

325. 
     Optimal Control of a Dengue Epidemic Model with Vaccination

     Article • January 2011, American Institute of Physics

     Professor Delfim F. M. Torres

326. 
     Noether’s symmetry theorem for nabla problems of the calculus of variations

     Article • Applied Mathematics Letters, December 2010, Elsevier

     Professor Delfim F. M. Torres

327. 
     Delta-nabla optimal control problems

     Article • Journal of Vibration and Control, November 2010, SAGE Publications

     Professor Delfim F. M. Torres

328. 
     Dynamics of Dengue epidemics when using optimal control

     Article • Mathematical and Computer Modelling, November 2010, Elsevier

     Professor Delfim F. M. Torres

329. 
     Fractional Noether’s theorem in the Riesz–Caputo sense

     Article • Applied Mathematics and Computation, October 2010, Elsevier

     Professor Delfim F. M. Torres

330. 
     Leitmann’s direct method for fractional optimization problems

     Article • Applied Mathematics and Computation, October 2010, Elsevier

     Professor Delfim F. M. Torres

331. 
     Preface

     Article • Discrete and Continuous Dynamical Systems, October 2010, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

332. 
     Necessary optimality conditions for fractional difference problems of the calculus of variations

     Article • Discrete and Continuous Dynamical Systems, October 2010, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

333. 
     Leitmann’s direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

     Article • Applied Mathematics and Computation, October 2010, Elsevier

     Professor Delfim F. M. Torres

334. 
     Euler-Lagrange equations for composition functionals in calculus of variations on time scales

     Article • Discrete and Continuous Dynamical Systems, October 2010, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

335. 
     Backward linear control systems on time scales

     Article • International Journal of Control, August 2010, Taylor & Francis

     Professor Delfim F. M. Torres

336. 
     A general backwards calculus of variations via duality

     Article • Optimization Letters, July 2010, Springer Science + Business Media

     Professor Delfim F. M. Torres

337. 
     The Hahn Quantum Variational Calculus

     Article • Journal of Optimization Theory and Applications, July 2010, Springer Science + Business Media

     Professor Delfim F. M. Torres

338. 
     A unified approach to the calculus of variations on time scales

     Article • May 2010, Institute of Electrical & Electronics Engineers (IEEE)

     Professor Delfim F. M. Torres

339. 
     Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative

     Article • Computers & Mathematics with Applications, May 2010, Elsevier

     Professor Delfim F. M. Torres

340. 
     Avoidance Control on Time Scales

     Article • Journal of Optimization Theory and Applications, April 2010, Springer Science + Business Media

     Professor Delfim F. M. Torres

341. 
     Transversality conditions for infinite horizon variational problems on time scales

     Article • Optimization Letters, April 2010, Springer Science + Business Media

     Professor Delfim F. M. Torres

342. 
     Generalized Euler–Lagrange Equations for Variational Problems with Scale Derivatives

     Article • Letters in Mathematical Physics, March 2010, Springer Science + Business Media

     Professor Delfim F. M. Torres

343. 
     Natural boundary conditions in the calculus of variations

     Article • Mathematical Methods in the Applied Sciences, March 2010, Wiley

     Professor Delfim F. M. Torres

344. 
     A fractional calculus of variations for multiple integrals with application to vibrating string

     Article • Journal of Mathematical Physics, March 2010, American Institute of Physics

     Professor Delfim F. M. Torres

345. 
     Isoperimetric problems of the calculus of variations on time scales

     Article • January 2010, American Mathematical Society (AMS)

     Professor Delfim F. M. Torres

346. 
     A non-classical class of variational problems

     Article • International Journal of Mathematical Modelling and Numerical Optimisation, January 2010, Inderscience Publishers

     Professor Delfim F. M. Torres

347. 
     Insecticide Control in a Dengue Epidemics Model

     Article • January 2010, American Institute of Physics

     Professor Delfim F. M. Torres

348. 
     Integral inequalities and their applications to the calculus of variations on Time Scales

     Article • Mathematical Inequalities & Applications, January 2010, Element d.o.o.

     Professor Delfim F. M. Torres

349. 
     Calculus of variations with fractional derivatives and fractional integrals

     Article • Applied Mathematics Letters, December 2009, Elsevier

     Professor Delfim F. M. Torres

350. 
     Computing ODE symmetries as abnormal variational symmetries

     Article • Nonlinear Analysis, December 2009, Elsevier

     Professor Delfim F. M. Torres

351. 
     Calculus of variations on time scales with nabla derivatives

     Article • Nonlinear Analysis, December 2009, Elsevier

     Professor Delfim F. M. Torres

352. 
     Hölderian variational problems subject to integral constraints

     Article • Journal of Mathematical Analysis and Applications, November 2009, Elsevier

     Professor Delfim F. M. Torres

353. 
     Two-dimensional body of maximum mean resistance

     Article • Applied Mathematics and Computation, September 2009, Elsevier

     Professor Delfim F. M. Torres

354. 
     Combined dynamic Grüss inequalities on time scales

     Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

     Professor Delfim F. M. Torres

355. 
     Necessary and sufficient conditions for local Pareto optimality on time scales

     Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

     Professor Delfim F. M. Torres

356. 
     On the two-dimensional rotational body of maximal Newtonian resistance

     Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

     Professor Delfim F. M. Torres

357. 
     Generalized retarded integral inequalities

     Article • Applied Mathematics Letters, June 2009, Elsevier

     Professor Delfim F. M. Torres

358. 
     Generalizations of Gronwall–Bihari inequalities on time scales

     Article • The Journal of Difference Equations and Applications, June 2009, Taylor & Francis

     Professor Delfim F. M. Torres

359. 
     The Natural Logarithm on Time Scales

     Article • Journal of Dynamical Systems and Geometric Theories, May 2009, Taru Publications

     Professor Delfim F. M. Torres

360. 
     Isoperimetric Problems on Time Scales with Nabla Derivatives

     Article • Journal of Vibration and Control, March 2009, SAGE Publications

     Professor Delfim F. M. Torres

361. 
     Optimization of Dengue Epidemics: A Test Case with Different Discretization Schemes

     Article • January 2009, American Institute of Physics

     Professor Delfim F. M. Torres

362. 
     Strong minimizers of the calculus of variations on time scales and the Weierstrass condition

     Article • Proceedings of the Estonian Academy of Sciences, January 2009, Estonian Academy Publishers

     Professor Delfim F. M. Torres

363. 
     Regularity of solutions to higher-order integrals of the calculus of variations

     Article • International Journal of Systems Science, September 2008, Taylor & Francis

     Professor Delfim F. M. Torres

364. 
     Noether's theorem on time scales

     Article • Journal of Mathematical Analysis and Applications, June 2008, Elsevier

     Professor Delfim F. M. Torres

365. 
     Dynamics of controlled hybrid systems of aerial cable-ways

     Article • Nonlinear Analysis Hybrid Systems, June 2008, Elsevier

     Professor Delfim F. M. Torres

366. 
     Fractional actionlike variational problems

     Article • Journal of Mathematical Physics, May 2008, American Institute of Physics

     Professor Delfim F. M. Torres

367. 
     Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization

     Article • Journal of Optimization Theory and Applications, April 2008, Springer Science + Business Media

     Professor Delfim F. M. Torres

368. 
     Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem

     Article • Mathematics and Computers in Simulation, March 2008, Elsevier

     Professor Delfim F. M. Torres

369. 
     Higher-Order Calculus of Variations on Time Scales

     Article • January 2008, Springer Science + Business Media

     Professor Delfim F. M. Torres

370. 
     Necessary Optimality Condition for a Discrete Dead Oil Isotherm Optimal Control Problem

     Article • January 2008, Springer Science + Business Media

     Professor Delfim F. M. Torres

371. 
     Diamond- Jensen's Inequality on Time Scales

     Article • Journal of Inequalities and Applications, January 2008, Springer Science + Business Media

     Professor Delfim F. M. Torres

372. 
     Evolution strategies in optimization problems; 299-309

     Article • Proceedings of the Estonian Academy of Sciences Physics Mathematics, December 2007, Estonian Academy Publishers

     Professor Delfim F. M. Torres

373. 
     Nonessential functionals in multiobjective optimal control problems; 336-346

     Article • Proceedings of the Estonian Academy of Sciences Physics Mathematics, December 2007, Estonian Academy Publishers

     Professor Delfim F. M. Torres

374. 
     Fractional conservation laws in optimal control theory

     Article • Nonlinear Dynamics, November 2007, Springer Science + Business Media

     Professor Delfim F. M. Torres

375. 
     Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema

     Article • Journal of Optimization Theory and Applications, October 2007, Springer Science + Business Media

     Professor Delfim F. M. Torres

376. 
     A formulation of Noether's theorem for fractional problems of the calculus of variations

     Article • Journal of Mathematical Analysis and Applications, October 2007, Elsevier

     Professor Delfim F. M. Torres

377. 
     Conservation laws for invariant functionals containing compositions§

     Article • Applicable Analysis, September 2007, Taylor & Francis

     Professor Delfim F. M. Torres

378. 
     Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

     Article • Journal of Optimization Theory and Applications, July 2007, Springer Science + Business Media

     Professor Delfim F. M. Torres

379. 
     Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)

     Article • Mathematical Methods in the Applied Sciences, April 2007, Wiley

     Professor Delfim F. M. Torres

380. 
     A Dual Mesh Method for a Non-Local Thermistor Problem

     Article • Symmetry Integrability and Geometry Methods and Applications, June 2006, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

     Professor Delfim F. M. Torres

381. 
     A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory

     Article • Georgian Mathematical Journal, March 2006, De Gruyter

     Professor Delfim F. M. Torres

382. 
     Analysis of vibrations in large flexible hybrid systems

     Article • Nonlinear Analysis, November 2005, Elsevier

     Professor Delfim F. M. Torres

383. 
     Newton's aerodynamic problem in media of chaotically moving particles

     Article • Sbornik Mathematics, June 2005, Turpion-Moscow Limited

     Professor Delfim F. M. Torres

384. 
     Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control

     Article • Computational Methods in Applied Mathematics, January 2005, De Gruyter

     Professor Delfim F. M. Torres

385. 
     Аэродинамическая задача Ньютона в средах хаотически движущихся частиц

     Article • Математический сборник, January 2005, Steklov Mathematical Institute

     Professor Delfim F. M. Torres

386. 
     Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations

     Article • Communications on Pure & Applied Analysis, June 2004, American Institute of Mathematical Sciences (AIMS)

     Professor Delfim F. M. Torres

387. 
     Carathéodory Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control

     Article • Journal of Mathematical Sciences, March 2004, Springer Science + Business Media

     Professor Delfim F. M. Torres

388. 
     Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems

     Article • Mathematics of Control Signals and Systems, September 2003, Springer Science + Business Media

     Professor Delfim F. M. Torres

389. 
     On the Noether Theorem for Optimal Control

     Article • European Journal of Control, January 2002, Elsevier

     Professor Delfim F. M. Torres

390. 
     Dynamics, Bifurcations, and Control

     Article • January 2002, Springer Science + Business Media

     Professor Delfim F. M. Torres

391. 
     Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems

     Article • January 2001, Springer Science + Business Media

     Professor Delfim F. M. Torres

392. 
     Lipschitzian Regularity of Minimizers for Optimal Control Problems with Control-Affine Dynamics

     Article • Applied Mathematics & Optimization, March 2000, Springer Science + Business Media

     Professor Delfim F. M. Torres

393. 
     Conservation Laws in Optimal Control

     Article • Springer Science + Business Media

     Professor Delfim F. M. Torres

394. 
     Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations

     Article • Springer Science + Business Media

     Professor Delfim F. M. Torres

395. 
     Weak conservation laws for minimizers which are not pontryagin extremals

     Article • Institute of Electrical & Electronics Engineers (IEEE)

     Professor Delfim F. M. Torres