| 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 | 467 | 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 | 349 | 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 | 338 | 2017 |
| Fractional mechanical oscillators JF Gómez-Aguilar, JJ Rosales-García, JJ Bernal-Alvarado, ... Revista mexicana de física 58 (4), 348-352, 2012 | 229 | 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 | 202 | 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 | 201 | 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 | 187 | 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 | 170 | 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 | 164 | 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 | 161 | 2019 |
| 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 | 158 | 2017 |
| 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 | 153 | 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 | 146 | 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 | 145 | 2020 |
| 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 | 145 | 2018 |
| 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 | 136 | 2014 |
| 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 | 132 | 2021 |
| 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 | 129 | 2016 |
| A new modified definition of Caputo–Fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM) H Yépez-Martínez, JF Gómez-Aguilar Journal of Computational and Applied Mathematics 346, 247-260, 2019 | 128 | 2019 |
| The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization SB Chen, H Jahanshahi, OA Abba, JE Solís-Pérez, S Bekiros, ... Chaos, Solitons & Fractals 140, 110223, 2020 | 126 | 2020 |
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