Decolonisation of fractional calculus rules: breaking commutativity and associativity to capture more natural phenomena A Atangana, JF Gómez-Aguilar The European Physical Journal Plus 133, 1-22, 2018 | 452 | 2018 |
Fractional derivatives with no-index law property: application to chaos and statistics A Atangana, JF Gómez-Aguilar Chaos, Solitons & Fractals 114, 516-535, 2018 | 338 | 2018 |
Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu A Atangana, JF Gómez‐Aguilar Numerical Methods for Partial Differential Equations, 2017 | 319 | 2017 |
Fractional mechanical oscillators JF Gómez-Aguilar, JJ Rosales-García, JJ Bernal-Alvarado, ... Revista mexicana de física 58 (4), 348-352, 2012 | 207 | 2012 |
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel A Khan, H Khan, JF Gómez-Aguilar, T Abdeljawad Chaos, Solitons & Fractals 127, 422-427, 2019 | 183 | 2019 |
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment S Kumar, A Kumar, B Samet, JF Gómez-Aguilar, MS Osman Chaos, Solitons & Fractals 141, 110321, 2020 | 179 | 2020 |
Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel JF Gómez-Aguilar, H Yépez-Martínez, C Calderón-Ramón, I Cruz-Orduña, ... Entropy 17 (9), 6289-6303, 2015 | 177 | 2015 |
Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives JF Gómez‐Aguilar, A Atangana, VF Morales‐Delgado International Journal of Circuit Theory and Applications 45 (11), 1514-1533, 2017 | 162 | 2017 |
New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications JF Gómez-Aguilar, A Atangana The European Physical Journal Plus 132, 1-21, 2017 | 161 | 2017 |
A new derivative with normal distribution kernel: Theory, methods and applications A Atangana, JF Gómez-Aguilar Physica A: Statistical mechanics and its applications 476, 1-14, 2017 | 149 | 2017 |
Stability analysis and numerical solutions of fractional order HIV/AIDS model A Khan, JF Gómez-Aguilar, TS Khan, H Khan Chaos, Solitons & Fractals 122, 119-128, 2019 | 148 | 2019 |
Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods KM Saad, MM Khader, JF Gómez-Aguilar, D Baleanu Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (2), 2019 | 148 | 2019 |
Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular VF Morales-Delgado, JF Gómez-Aguilar, H Yépez-Martínez, D Baleanu, ... Advances in Difference Equations 2016, 1-17, 2016 | 142 | 2016 |
A fractional order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law H Khan, JF Gómez‐Aguilar, A Alkhazzan, A Khan Mathematical Methods in the Applied Sciences, 2020 | 134 | 2020 |
Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel KM Saad, JF Gómez-Aguilar Physica A: Statistical Mechanics and its Applications 509, 703-716, 2018 | 126 | 2018 |
Analytical and numerical solutions of electrical circuits described by fractional derivatives JF Gómez-Aguilar, H Yépez-Martínez, RF Escobar-Jiménez, ... Applied Mathematical Modelling 40 (21-22), 9079-9094, 2016 | 123 | 2016 |
A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response JF Gómez-Aguilar, R Razo-Hernández, D Granados-Lieberman Revista mexicana de física 60 (1), 32-38, 2014 | 122 | 2014 |
Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel JF Gómez-Aguilar, H Yépez-Martínez, J Torres-Jiménez, ... Advances in Difference Equations 2017, 1-18, 2017 | 121 | 2017 |
Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique PY Xiong, H Jahanshahi, R Alcaraz, YM Chu, JF Gómez-Aguilar, ... Chaos, Solitons & Fractals 144, 110576, 2021 | 120 | 2021 |
Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws JE Solís-Pérez, JF Gómez-Aguilar, A Atangana Chaos, Solitons & Fractals 114, 175-185, 2018 | 120 | 2018 |