José Francisco Gómez-Aguilar

José Francisco Gómez-Aguilar publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where José Francisco Gómez-Aguilar sits on this spectrum.

José Francisco Gómez-Aguilar D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where José Francisco Gómez-Aguilar sits on this spectrum.

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