José Francisco Gómez-Aguilar

Research.com Recognitions

• 2026 - Research.com Engineering and Technology in Mexico Leader Award
• 2025 - Research.com Engineering and Technology in Mexico Leader Award
• 2025 - Research.com Rising Stars Award

Overview

Best Publications

• Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

  Abdon Atangana;J. F. Gómez-Aguilar

  452
  Citations

• Fractional derivatives with no-index law property: Application to chaos and statistics

  Abdon Atangana;José Francisco Gómez‐Aguilar

  349
  Citations

• Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

  Abdon Atangana;J. F. Gómez-Aguilar

  331
  Citations

• Artificial neural networks: a practical review of applications involving fractional calculus

  Unknown

  210
  Citations

• Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel

  Aziz Khan;Hasib Khan;J.F. Gómez-Aguilar;Thabet Abdeljawad

  203
  Citations

• A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

  Sunil Kumar;Ajay Kumar;Bessem Samet;J.F. Gómez-Aguilar

  196
  Citations

• Fractional mechanical oscillators

  J.F. Gómez-Aguilar;J.J. Rosales-García;J.J. Bernal-Alvarado;T. Córdova-Fraga

  190
  Citations

• Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

  José Francisco Gómez-Aguilar;Huitzilin Yépez-Martínez;Celia Calderón-Ramón;Ines Cruz-Orduña

  180
  Citations

• Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives

  José Francisco Gómez-Aguilar;Abdon Atangana;Victor Fabian Morales-Delgado

  170
  Citations

• Stability analysis and numerical solutions of fractional order HIV/AIDS model

  Aziz Khan;J.F. Gómez-Aguilar;Tahir Saeed Khan;Hasib Khan;Hasib Khan

  165
  Citations

• New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications

  J. F. Gómez-Aguilar;Abdon Atangana

  162
  Citations

• A new derivative with normal distribution kernel: Theory, methods and applications

  Abdon Atangana;J.F. Gómez-Aguilar

  156
  Citations

• Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws

  J.E. Solís-Pérez;J.F. Gómez-Aguilar;A. Atangana

  145
  Citations

• A new modified definition of Caputo–Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM)

  Huitzilin Yépez-Martínez;José Francisco Gómez-Aguilar

  141
  Citations

• Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique

  Pei-Ying Xiong;Hadi Jahanshahi;Raúl Alcaraz;Yu-Ming Chu

  137
  Citations

• A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler Law

  Hasib Khan;J.F. Gómez‐Aguilar;Abdulwasea Alkhazzan;Aziz Khan

  135
  Citations

• Numerical solutions of the fractional Fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods.

  Khaled M. Saad;M. M. Khader;J. F. Gómez-Aguilar;Dumitru Baleanu

  135
  Citations

• Analytical and numerical solutions of electrical circuits described by fractional derivatives

  J.F. Gómez-Aguilar;H. Yépez-Martínez;R.F. Escobar-Jiménez;C.M. Astorga-Zaragoza

  132
  Citations

• The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization

  Shu-Bo Chen;Hadi Jahanshahi;Oumate Alhadji Abba;J.E. Solís-Pérez

  132
  Citations

• Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion

  H. Yépez-Martínez;J.F. Gómez-Aguilar;Dumitru Baleanu

  130
  Citations

• Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel

  Khaled M. Saad;Khaled M. Saad;J.F. Gómez-Aguilar

  126
  Citations

• Modeling diffusive transport with a fractional derivative without singular kernel

  J.F. Gómez-Aguilar;M.G. López-López;V.M. Alvarado-Martínez;J. Reyes-Reyes

  126
  Citations

• Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

  Victor Fabian Morales-Delgado;José Francisco Gómez-Aguilar;Huitzilin Yépez-Martínez;Dumitru Baleanu

  124
  Citations

• Analytical Solutions of the Electrical RLC Circuit via Liouville–Caputo Operators with Local and Non-Local Kernels

  José Francisco Gómez-Aguilar;Victor Fabian Morales-Delgado;Marco Antonio Taneco-Hernández;Dumitru Baleanu

  121
  Citations

• Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

  JF Gómez-Aguilar;H Yépez-Martínez;J Torres-Jiménez;T Córdova-Fraga

  120
  Citations