All Stories

  1. Comment on “Noether’s-type theorems on time scales” [J. Math. Phys. 61, 113502 (2020)]
  2. Lyapunov functions for fractional-order systems in biology: Methods and applications
  3. Mathematical Modeling of Japanese Encephalitis under Aquatic Environmental Effects
  4. Distributed-Order Non-Local Optimal Control
  5. Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems
  6. Corrigendum to “Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan” [Chaos Solitons Fractals 135 (2020), 109846]
  7. A Stochastic Fractional Calculus with Applications to Variational Principles
  8. Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
  9. Optimal Control of Aquatic Diseases: A Case Study of Yemen’s Cholera Outbreak
  10. Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate
  11. The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems
  12. 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
  13. A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy
  14. Numerical Optimal Control of HIV Transmission in Octave/MATLAB
  15. Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
  16. Solutions of systems with the Caputo–Fabrizio fractional delta derivative on time scales
  17. Exact solution to a dynamic SIR model
  18. A numerical approach for solving fractional optimal control problems using modified hat functions
  19. Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives
  20. A collocation method of lines for two‐sided space‐fractional advection‐diffusion equations with variable coefficients
  21. Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations
  22. Optimal Impulse Control of Dynamical Systems
  23. Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
  24. A space–time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives
  25. A stochastic SICA epidemic model for HIV transmission
  26. Existence theorems for a nonlinear second-order distributional differential equation
  27. Some inequalities for interval-valued functions on time scales
  28. Enlarged Controllability of Riemann–Liouville Fractional Differential Equations
  29. Expansion Formulas for Fractional Derivatives
  30. Fractional Calculus
  31. The Calculus of Variations
  32. The Fractional Calculus of Variations
  33. Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
  34. Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response
  35. A simple mathematical model for unemployment: a case study in Portugal with optimal control
  36. Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida
  37. The Cape Verde International Days on Mathematics 2017
  38. Uniform asymptotic stability of a fractional tuberculosis model
  39. Banking Risk as an Epidemiological Model: An Optimal Control Approach
  40. Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities
  41. Optimal control of non-autonomous SEIRS models with vaccination and treatment
  42. The Fuzzy Henstock–Kurzweil Delta Integral on Time Scales
  43. Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil
  44. The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country
  45. Generalized fractional operators on time scales with application to dynamic equations
  46. Global existence of solutions for a fractional Caputo nonlocal thermistor problem
  47. A necessary condition of Pontryagin type for fuzzy fractional optimal control problems
  48. Fractional Herglotz variational problems of variable order
  49. Modeling and optimal control of HIV/AIDS prevention through PrEP
  50. Noether currents for higher-order variational problems of Herglotz type with time delay
  51. Preface
  52. Optimal control of a delayed HIV model
  53. A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
  54. A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives
  55. Fractional Herglotz variational principles with generalized Caputo derivatives
  56. On a Fractional Oscillator Equation with Natural Boundary Conditions
  57. A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde
  58. Ebola model and optimal control with vaccination constraints
  59. On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales
  60. Combined fractional variational problems of variable order and some computational aspects
  61. Lyapunov-type inequality for a fractional boundary value problem with natural conditions
  62. Variational calculus with conformable fractional derivatives
  63. Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem
  64. Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations
  65. A generalized Lyapunov’s inequality for a fractional boundary value problem
  66. Existence of solution to a local fractional nonlinear differential equation
  67. Existence and uniqueness results for a fractional Riemann–Liouville nonlocal thermistor problem on arbitrary time scales
  68. Optimal Spraying in Biological Control of Pests
  69. Constrained fractional variational problems of variable order
  70. Direct and Inverse Variational Problems on Time Scales: A Survey
  71. Hyperchaotic Fractional-Order Systems and Their Applications
  72. Mathematical Modeling and Control of Infectious Diseases
  73. Generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function
  74. General fractional-order anomalous diffusion with non-singular power-law kernel
  75. Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales
  76. An epidemic model for cholera with optimal control treatment
  77. Approximated analytical solution to an Ebola optimal control problem
  78. Exponentials and Laplace transforms on nonuniform time scales
  79. Optimal control of a tuberculosis model with state and control delays
  80. Linear and Nonlinear Fractional Voigt Models
  81. Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences
  82. Caputo derivatives of fractional variable order: Numerical approximations
  83. Galerkin spectral method for the fractional nonlocal thermistor problem
  84. Dynamics and Optimal Control of Ebola Transmission
  85. Predicting and controlling the Ebola infection
  86. A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems
  87. Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus
  88. Complex-Valued Fractional Derivatives on Time Scales
  89. A Hukuhara approach to the study of hybrid fuzzy systems on time scales
  90. A conformable fractional calculus on arbitrary time scales
  91. Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales
  92. Stability and optimal control of a delayed HIV model
  93. Coexistence of two dengue virus serotypes and forecasting for Madeira Island
  94. Noether's theorem for higher-order variational problems of Herglotz type
  95. Multiobjective approach to optimal control for a dengue transmission model
  96. Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations
  97. Computing Hadamard type operators of variable fractional order
  98. Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure
  99. Solving Abel integral equations of first kind via fractional calculus
  100. A TB-HIV/AIDS coinfection model and optimal control treatment
  101. Variational problems of Herglotz type with time delay: DuBois--Reymond condition and Noether's first theorem
  102. Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets
  103. Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order
  104. Multiobjective approach to optimal control for a tuberculosis model
  105. A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration
  106. Duality for the left and right fractional derivatives
  107. Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions
  108. Advanced Methods in the Fractional Calculus of Variations
  109. Introduction
  110. Conclusion
  111. Fractional Calculus
  112. Fractional Calculus of Variations
  113. Direct Methods in Fractional Calculus of Variations
  114. Standard Methods in Fractional Variational Calculus
  115. Application to the Sturm–Liouville Problem
  116. Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa
  117. An Optimal Control Approach to Herglotz Variational Problems
  118. The Diamond Integral on Time Scales
  119. Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control
  120. Computational Methods in the Fractional Calculus of Variations
  121. Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis
  122. Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
  123. Generalized fractional operators for nonstandard Lagrangians
  124. A discrete method to solve fractional optimal control problems
  125. The Legendre condition of the fractional calculus of variations
  126. Quantum Variational Calculus
  127. Vaccination models and optimal control strategies to dengue
  128. Fractional and Time-Scales Differential Equations
  129. A general delta-nabla calculus of variations on time scales with application to economics
  130. Necessary Condition for an Euler-Lagrange Equation on Time Scales
  131. Optimal Control with Time Delays via the Penalty Method
  132. Modeling TB-HIV Syndemic and Treatment
  133. Conclusion
  134. The Classical Calculus of Variations
  135. The Power Quantum Calculus
  136. The Hahn Quantum Variational Calculus
  137. Higher-Order Variational Problems of Herglotz Type
  138. Fractional order optimal control problems with free terminal time
  139. Control of a novel chaotic fractional order system using a state feedback technique
  140. Bioeconomic perspectives to an optimal control dengue model
  141. Dengue in Cape Verde: Vector Control and Vaccination
  142. Discrete direct methods in the fractional calculus of variations
  143. Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces
  144. Fractional calculus of variations of several independent variables
  145. Optimal control for a tuberculosis model with reinfection and post-exposure interventions
  146. Optimal control strategies for reducing the number of active infected individuals with tuberculosis
  147. Fractional Isoperimetric Noether's Theorem in the Riemann–Liouville Sense
  148. Symmetric differentiation on time scales
  149. Noether’s theorem for non-smooth extremals of variational problems with time delay
  150. Green’s theorem for generalized fractional derivatives
  151. Necessary optimality conditions for infinite horizon variational problems on time scales
  152. Hahn's symmetric quantum variational calculus
  153. Existence of Three Positive Solutions to Somep-Laplacian Boundary Value Problems
  154. The Cape Verde International Days on Mathematics 2013
  155. Noether’s theorem for fractional variational problems of variable order
  156. A discrete time method to the first variation of fractional order variational functionals
  157. Sensitivity Analysis in a Dengue Epidemiological Model
  158. A Numerical Scheme to Solve Fractional Optimal Control Problems
  159. An Optimal Control Approach to Malaria Prevention via Insecticide-Treated Nets
  160. A Symmetric Quantum Calculus
  161. A Symmetric Nörlund Sum with Application to Inequalities
  162. An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order
  163. Variable order fractional variational calculus for double integrals
  164. Fractional Noether's theorem with classical and Riemann-Liouville derivatives
  165. Optimal control of nonlocal thermistor equations
  166. The existence of solutions for dynamic inclusions on time scales via duality
  167. Approximation of fractional integrals by means of derivatives
  168. Generalized fractional calculus with applications to the calculus of variations
  169. The DuBois–Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler–Lagrange Equation Involving Only Derivatives of Caputo
  170. Numerical approximations of fractional derivatives with applications
  171. Time scale differential, integral, and variational embeddings of Lagrangian systems
  172. Higher-order infinite horizon variational problems in discrete quantum calculus
  173. Optimal control strategies for tuberculosis treatment: A case study in Angola
  174. Noether's symmetry Theorem for variational and optimal control problems with time delay
  175. Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales
  176. Introduction to the Fractional Calculus of Variations
  177. Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative
  178. The contingent epiderivative and the calculus of variations on time scales
  179. Isoperimetric problems of the calculus of variations with fractional derivatives
  180. Fractional variational calculus with classical and combined Caputo derivatives
  181. Dengue disease, basic reproduction number and control
  182. Fractional variational problems depending on indefinite integrals
  183. Higher-order Hahn’s quantum variational calculus
  184. Towards a combined fractional mechanics and quantization
  185. Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives
  186. Multiobjective fractional variational calculus in terms of a combined Caputo derivative
  187. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics
  188. Receptor-based biomimetic NVP/DMA contact lenses for loading/eluting carbonic anhydrase inhibitors
  189. Nondifferentiable variational principles in terms of a quantum operator
  190. Fractional Euler–Lagrange Differential Equations via Caputo Derivatives
  191. Fractional variational calculus for nondifferentiable functions
  192. Generalizing the variational theory on time scales to include the delta indefinite integral
  193. Modified optimal energy and initial memory of fractional continuous-time linear systems
  194. Discrete-time fractional variational problems
  195. Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
  196. Inequalities and majorisations for the Riemann-Stieltjes integral on time scales
  197. Fractional h-difference equations arising from the calculus of variations
  198. Guest Editorial
  199. Fractional calculus of variations for a combined Caputo derivative
  200. Fractional Derivatives in Dengue Epidemics
  201. The Second Euler-Lagrange Equation of Variational Calculus on Time Scales
  202. Optimality conditions for the calculus of variations with higher-order delta derivatives
  203. Necessary conditions for linear noncooperative N-player delta differential games on time scales
  204. Optimal Control of a Dengue Epidemic Model with Vaccination
  205. Noether’s symmetry theorem for nabla problems of the calculus of variations
  206. Delta-nabla optimal control problems
  207. Dynamics of Dengue epidemics when using optimal control
  208. Fractional Noether’s theorem in the Riesz–Caputo sense
  209. Leitmann’s direct method for fractional optimization problems
  210. Preface
  211. Necessary optimality conditions for fractional difference problems of the calculus of variations
  212. Leitmann’s direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales
  213. Euler-Lagrange equations for composition functionals in calculus of variations on time scales
  214. Backward linear control systems on time scales
  215. A general backwards calculus of variations via duality
  216. The Hahn Quantum Variational Calculus
  217. A unified approach to the calculus of variations on time scales
  218. Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
  219. Avoidance Control on Time Scales
  220. Transversality conditions for infinite horizon variational problems on time scales
  221. Generalized Euler–Lagrange Equations for Variational Problems with Scale Derivatives
  222. Natural boundary conditions in the calculus of variations
  223. Isoperimetric problems of the calculus of variations on time scales
  224. A non-classical class of variational problems
  225. Insecticide Control in a Dengue Epidemics Model
  226. Integral inequalities and their applications to the calculus of variations on Time Scales
  227. A fractional calculus of variations for multiple integrals with application to vibrating string
  228. Calculus of variations with fractional derivatives and fractional integrals
  229. Computing ODE symmetries as abnormal variational symmetries
  230. Calculus of variations on time scales with nabla derivatives
  231. Hölderian variational problems subject to integral constraints
  232. Two-dimensional body of maximum mean resistance
  233. Combined dynamic Grüss inequalities on time scales
  234. Necessary and sufficient conditions for local Pareto optimality on time scales
  235. On the two-dimensional rotational body of maximal Newtonian resistance
  236. Generalized retarded integral inequalities
  237. Generalizations of Gronwall–Bihari inequalities on time scales
  238. The Natural Logarithm on Time Scales
  239. Isoperimetric Problems on Time Scales with Nabla Derivatives
  240. Optimization of Dengue Epidemics: A Test Case with Different Discretization Schemes
  241. Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
  242. Regularity of solutions to higher-order integrals of the calculus of variations
  243. Noether's theorem on time scales
  244. Dynamics of controlled hybrid systems of aerial cable-ways
  245. Fractional actionlike variational problems
  246. Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization
  247. Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
  248. Higher-Order Calculus of Variations on Time Scales
  249. Necessary Optimality Condition for a Discrete Dead Oil Isotherm Optimal Control Problem
  250. Diamond- Jensen's Inequality on Time Scales
  251. Fractional conservation laws in optimal control theory
  252. Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema
  253. A formulation of Noether's theorem for fractional problems of the calculus of variations
  254. Conservation laws for invariant functionals containing compositions§
  255. Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem
  256. Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
  257. A Dual Mesh Method for a Non-Local Thermistor Problem
  258. A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory
  259. Analysis of vibrations in large flexible hybrid systems
  260. Newton's aerodynamic problem in media of chaotically moving particles
  261. Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control
  262. Аэродинамическая задача Ньютона в средах хаотически движущихся частиц
  263. Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations
  264. Carathéodory Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control
  265. Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems
  266. On the Noether Theorem for Optimal Control
  267. Dynamics, Bifurcations, and Control
  268. Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems
  269. Lipschitzian Regularity of Minimizers for Optimal Control Problems with Control-Affine Dynamics
  270. Conservation Laws in Optimal Control
  271. Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations
  272. Weak conservation laws for minimizers which are not pontryagin extremals