All Stories

  1. Spectral fractional radial Laplacian with Caputo structure on bounded domains

    Article • Fractional Calculus and Applied Analysis, October 2026, Springer Science + Business Media

    Professor Juan J Trujillo

  2. Existence and numerical simulation of solutions for nonlinear fractional pantograph equations

    Article • International Journal of Computer Mathematics, January 2017, Taylor & Francis

    Professor Juan J Trujillo

  3. Optimal control of discrete-time linear fractional-order systems with multiplicative noise

    Article • International Journal of Control, December 2016, Taylor & Francis

    Professor Juan J Trujillo

  4. 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

  5. Note on controllability of linear fractional dynamical systems

    Article • Journal of Control and Decision, August 2016, Taylor & Francis

    Professor Juan J Trujillo

  6. BOUNDARY VALUE PROBLEMS FOR FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS INVOLVING GRONWALL INEQUALITY IN BANACH SPACE

    Article • Journal of applied mathematics & informatics, May 2016, Korean Society of Computational and Applied Mathematics

    Professor Juan J Trujillo

  7. Riemann–Liouville fractional calculus in Morrey spaces and applications

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

    Professor Juan J Trujillo

  8. Controllability of Nonlinear Fractional Delay Dynamical Systems

    Article • Reports on Mathematical Physics, February 2016, Elsevier

    Professor Juan J Trujillo

  9. Ulam stabilities for partial Hadamard fractional integral equations

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

    Professor Juan J Trujillo

  10. The generalized hypergeometric function as the Meijer G-function

    Article • Analysis, January 2016, De Gruyter

    Prof. Juan J. Trujillo, Professor Juan J Trujillo

  11. Steady-state response of constant coefficient discrete-time differential systems

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

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  12. Theory and Applications of Fractional Order Systems 2016

    Article • Mathematical Problems in Engineering, January 2016, Hindawi Publishing Corporation

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  13. Existence of local solutions for differential equations with arbitrary fractional order

    Article • Arabian Journal of Mathematics, November 2015, Springer Science + Business Media

    Professor Juan J Trujillo

  14. Fractional derivatives and periodic functions

    Article • International Journal of Dynamics and Control, November 2015, Springer Science + Business Media

    Professor Juan J Trujillo , Prof. Manuel D Ortigueira, Professor Jose Tenreiro Machado

  15. Anomalous T2 relaxation in normal and degraded cartilage

    Article • Magnetic Resonance in Medicine, September 2015, Wiley

    Dr Weiguo Li, Professor Juan J Trujillo

  16. Integer/fractional decomposition of the impulse response of fractional linear systems

    Article • Signal Processing, September 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  17. Existence results for an impulsive fractional integro-differential equation with state-dependent delay

    Article • Applied Mathematics and Computation, September 2015, Elsevier

    Professor Juan J Trujillo

  18. Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations

    Article • Journal of Integral Equations and Applications, September 2015, Rocky Mountain Mathematics Consortium

    Professor Juan J Trujillo

  19. Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions

    Article • Proceedings - Mathematical Sciences, August 2015, Springer Science + Business Media

    Professor Juan J Trujillo , Professor Praveen Agarwal

  20. From a generalised Helmholtz decomposition theorem to fractional Maxwell equations

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  21. Controllability of fractional damped dynamical systems

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Professor Juan J Trujillo

  22. Existence of mild solution for evolution equation with Hilfer fractional derivative

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Professor Juan J Trujillo

  23. Relative controllability of nonlinear neutral fractional integro-differential systems with distributed delays in control

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

    Prof. Juan J. Trujillo, Professor Krishnan Balachandran, Professor Juan J Trujillo

  24. Discrete-time differential systems

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  25. A generalized power series and its application in the inversion of transfer functions

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  26. Fractional signal processing and applications

    Article • Signal Processing, February 2015, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  27. Analysis of radial composite systems based on fractal theory and fractional calculus

    Article • Signal Processing, February 2015, Elsevier

    Professor Juan J Trujillo

  28. Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems

    Article • Journal of Vibration and Control, January 2015, SAGE Publications

    Prof. Juan J. Trujillo, Professor Juan J Trujillo

  29. Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses

    Article • Mathematics, January 2015, MDPI AG

    Professor Juan J Trujillo

  30. Remarks to the Paper “On the Existence of Blow UP Solutions for a Class of Fractional Differential Equations” by Z. Bai et al., In “FCAA”, VOL. 17, NO 4 (2014), 1175-1187

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

    Prof. Juan J. Trujillo, Professor Juan J Trujillo

  31. New Results from Old Investigation: A Note on Fractional M-Dimensional Differential Operators. The Fractional Laplacian

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

    Prof. Juan J. Trujillo, Humberto E Prado, Professor Juan J Trujillo

  32. Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators

    Article • Applied Mathematics and Computation, November 2014, Elsevier

    Professor Juan J Trujillo

  33. Existence and stability results for nonlinear fractional order Riemann–Liouville Volterra–Stieltjes quadratic integral equations

    Article • Applied Mathematics and Computation, November 2014, Elsevier

    Professor Juan J Trujillo

  34. Control of a novel fractional hyperchaotic system using a located control method

    Article • Optimization, March 2014, Taylor & Francis

    Professor Juan J Trujillo

  35. Theory and Applications of Fractional Order Systems

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

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  36. Stabilizability of fractional dynamical systems

    Article • Fractional Calculus and Applied Analysis, January 2014, De Gruyter

    Professor Krishnan Balachandran, Professor Juan J Trujillo

  37. Advanced Theoretical and Applied Studies of Fractional Differential Equations 2013

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

    Professor Juan J Trujillo

  38. Existence of Mild and Classical Solutions for Nonlocal Impulsive Integrodifferential Equations in Banach Spaces with Measure of Noncompactness

    Article • International Journal of Differential Equations, January 2014, Hindawi Publishing Corporation

    Professor Juan J Trujillo

  39. On new existence results for fractional integro-differential equations with impulsive and integral conditions

    Article • Computers & Mathematics with Applications, January 2014, Elsevier

    Professor Juan J Trujillo

  40. An extended elastic law to represent non-linear elastic behaviour: Application in computational metal forming

    Article • International Journal of Mechanical Sciences, December 2013, Elsevier

    Professor Juan J Trujillo

  41. Editorial

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

    Professor Vasily E Tarasov, Prof. Roberto Garrappa, Professor Juan J Trujillo

  42. Fractional calculus: A survey of useful formulas

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

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  43. Fractional power-law spatial dispersion in electrodynamics

    Article • Annals of Physics, July 2013, Elsevier

    Professor Vasily E Tarasov, Professor Juan J Trujillo

  44. On development of fractional calculus during the last fifty years

    Article • Scientometrics, May 2013, Springer Science + Business Media

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  45. Existence of solutions of nonlinear fractional pantograph equations

    Article • Acta Mathematica Scientia, May 2013, Elsevier

    Professor Juan J Trujillo

  46. A new look into the discrete-time fractional calculus: transform and linear systems

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  47. Observability and Controllability of Fractional Linear Dynamical Systems

    Article • IFAC Proceedings Volumes, February 2013, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  48. A fractional approach to the Sturm-Liouville problem

    Article • Open Physics, January 2013, De Gruyter

    Professor Juan J Trujillo

  49. Advanced Theoretical and Applied Studies of Fractional Differential Equations

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Professor Juan J Trujillo

  50. Application of measure of noncompactness to a Cauchy problem for fractional differential equations

    Article • Fractional Calculus and Applied Analysis, January 2013, De Gruyter

    Professor Juan J Trujillo , Dr Ehsan Pourhadi

  51. Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces

    Article • Journal of Function Spaces and Applications, January 2013, Hindawi Publishing Corporation

    Professor Juan J Trujillo

  52. Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions

    Article • Fixed Point Theory and Applications, January 2013, Springer Science + Business Media

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  53. Observability of Nonlinear Fractional Dynamical Systems

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  54. Science metrics on fractional calculus development since 1966

    Article • Fractional Calculus and Applied Analysis, January 2013, De Gruyter

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  55. Stability of Fractional Order Systems

    Article • Mathematical Problems in Engineering, January 2013, Hindawi Publishing Corporation

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  56. A unified approach to fractional derivatives

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2012, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  57. Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions

    Article • Communications in Nonlinear Science and Numerical Simulation, November 2012, Elsevier

    Professor Juan J Trujillo

  58. Relative controllability of fractional dynamical systems with multiple delays in control

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

    Professor Juan J Trujillo

  59. Controllability Results for Nonlinear Fractional-Order Dynamical Systems

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

    Professor Juan J Trujillo

  60. Controllability of nonlinear higher order fractional dynamical systems

    Article • Nonlinear Dynamics, September 2012, Springer Science + Business Media

    Professor Juan J Trujillo

  61. Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2012, Elsevier

    Professor Juan J Trujillo

  62. A real regularised fractional derivative

    Article • Signal Image and Video Processing, May 2012, Springer Science + Business Media

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  63. THE INCREMENTAL RATIO BASED CAUSAL FRACTIONAL CALCULUS

    Article • International Journal of Bifurcation and Chaos, April 2012, World Scientific Pub Co Pte Lt

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  64. Controllability of nonlinear fractional dynamical systems

    Article • Nonlinear Analysis, March 2012, Elsevier

    Professor Juan J Trujillo

  65. On the existence of solutions of fractional integro-differential equations

    Article • Fractional Calculus and Applied Analysis, January 2012, De Gruyter

    Professor Juan J Trujillo

  66. Complex Grünwald–Letnikov, Liouville, Riemann–Liouville, and Caputo derivatives for analytic functions

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

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  67. Fractional dynamics of populations

    Article • Applied Mathematics and Computation, October 2011, Elsevier

    Professor Juan J Trujillo

  68. On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces

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

    Professor Juan J Trujillo

  69. Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models

    Article • Journal of Magnetic Resonance, June 2011, Elsevier

    Dr Weiguo Li, Professor Juan J Trujillo

  70. Existence results for fractional impulsive integrodifferential equations in Banach spaces

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

    Professor Juan J Trujillo

  71. Fractional signals and systems

    Article • Signal Processing, March 2011, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  72. On the fractional signals and systems

    Article • Signal Processing, March 2011, Elsevier

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  73. Improving the empirical mode decomposition method

    Article • Applicable Analysis, March 2011, Taylor & Francis

    Professor Juan J Trujillo

  74. Generalized Grünwald–Letnikov Fractional Derivative and Its Laplace and Fourier Transforms

    Article • Journal of Computational and Nonlinear Dynamics, January 2011, ASME International

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  75. On a Unified Fractional Derivative

    Article • January 2011, ASME International

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  76. Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition

    Article • Advances in Difference Equations, January 2011, Springer Science + Business Media

    Professor Juan J Trujillo

  77. Fractional heat equation and the second law of thermodynamics

    Article • Fractional Calculus and Applied Analysis, January 2011, De Gruyter

    Professor Juan J Trujillo

  78. Fractional Fourier transform in the framework of fractional calculus operators

    Article • Integral Transforms and Special Functions, October 2010, Taylor & Francis

    Professor Juan J Trujillo

  79. The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

    Article • Nonlinear Analysis, June 2010, Elsevier

    Professor Krishnan Balachandran, Professor Juan J Trujillo

  80. A new method of finding the fractional Euler–Lagrange and Hamilton equations within Caputo fractional derivatives

    Article • Communications in Nonlinear Science and Numerical Simulation, May 2010, Elsevier

    Professor Juan J Trujillo , FELIX MANUEL

  81. Fractional operators and some special functions

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

    Professor Juan J Trujillo

  82. The Krätzel function and evaluation of integrals

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

    Professor Juan J Trujillo

  83. Fractional models, non-locality, and complex systems

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

    Professor Juan J Trujillo

  84. Civil-Comp special issue

    Article • Advances in Engineering Software, January 2010, Elsevier

    Professor Juan J Trujillo

  85. Exact solutions of a class of fractional Hamiltonian equations involving Caputo derivatives

    Article • Physica Scripta, October 2009, Institute of Physics Publishing

    Professor Juan J Trujillo

  86. Generalized GL Fractional Derivative and Its Laplace and Fourier Transform

    Article • January 2009, ASME International

    Prof. Manuel D Ortigueira, Professor Juan J Trujillo

  87. Linear fractional differential equations with variable coefficients

    Article • Applied Mathematics Letters, September 2008, Elsevier

    Professor Juan J Trujillo

  88. Stirling functions of first kind in the setting of fractional calculus and generalized differences

    Article • The Journal of Difference Equations and Applications, August 2007, Taylor & Francis

    Professor Juan J Trujillo

  89. On exact solutions of a class of fractional Euler–Lagrange equations

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

    Professor Juan J Trujillo

  90. An application of Szegö quadratures to the computation of the Fourier transform

    Article • Applied Mathematics and Computation, April 2007, Elsevier

    Professor Juan J Trujillo

  91. Fractional differential equations as alternative models to nonlinear differential equations

    Article • Applied Mathematics and Computation, April 2007, Elsevier

    Professor Juan J Trujillo

  92. On systems of linear fractional differential equations with constant coefficients

    Article • Applied Mathematics and Computation, April 2007, Elsevier

    Professor Juan J Trujillo

  93. α-Analytic solutions of some linear fractional differential equations with variable coefficients

    Article • Applied Mathematics and Computation, April 2007, Elsevier

    Professor Juan J Trujillo

  94. Linear Differential Equations of Fractional Order

    Article • January 2007, Springer Science + Business Media

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  95. Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type

    Article • January 2007, Springer Science + Business Media

    Professor Juan J Trujillo , Professor Jose Tenreiro Machado

  96. Preface

    Article • January 2006, Elsevier

    Professor Juan J Trujillo , Prof. Dr. Hari Mohan Srivastava

  97. On the solution of fractional evolution equations

    Article • Journal of Physics A General Physics, February 2004, Institute of Physics Publishing

    Professor Juan J Trujillo

  98. Hadamard-type integrals as G-transforms

    Article • Integral Transforms and Special Functions, October 2003, Taylor & Francis

    Professor Juan J Trujillo

  99. Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives

    Article • The Journal of Difference Equations and Applications, May 2003, Taylor & Francis

    Professor Juan J Trujillo

  100. Asymptotic representations for hypergeometric-Bessel type function and fractional integrals

    Article • Journal of Computational and Applied Mathematics, December 2002, Elsevier

    Professor Juan J Trujillo

  101. Mellin transform analysis and integration by parts for Hadamard-type fractional integrals

    Article • Journal of Mathematical Analysis and Applications, June 2002, Elsevier

    Professor Juan J Trujillo

  102. Compositions of Hadamard-type fractional integration operators and the semigroup property

    Article • Journal of Mathematical Analysis and Applications, May 2002, Elsevier

    Professor Juan J Trujillo

  103. Fractional calculus in the Mellin setting and Hadamard-type fractional integrals

    Article • Journal of Mathematical Analysis and Applications, May 2002, Elsevier

    Professor Juan J Trujillo

  104. Fractional Order Continuity and Some Properties about Integrability and Differentiability of Real Functions

    Article • Journal of Mathematical Analysis and Applications, March 1999, Elsevier

    Professor Juan J Trujillo

  105. On a Riemann–Liouville Generalized Taylor's Formula

    Article • Journal of Mathematical Analysis and Applications, March 1999, Elsevier

    Professor Juan J Trujillo