| 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 | 181 | 2015 |
| 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 | 145 | 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 | 124 | 2019 |
| 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 | 124 | 2016 |
| 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 | 123 | 2017 |
| First integral method for non-linear differential equations with conformable derivative H Yépez-Martínez, JF Gómez-Aguilar, A Atangana Mathematical Modelling of Natural Phenomena 13 (1), 14, 2018 | 111 | 2018 |
| The Feng’s first integral method applied to the nonlinear mKdV space-time fractional partial differential equation H Yépez-Martínez, F Gómez-Aguilar, IO Sosa, JM Reyes, ... Revista mexicana de física 62 (4), 310-316, 2016 | 106 | 2016 |
| Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersion H Yépez-Martínez, JF Gómez-Aguilar, D Baleanu Optik 155, 357-365, 2018 | 105 | 2018 |
| Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel JF Gómez-Aguilar, L Torres, H Yépez-Martínez, D Baleanu, JM Reyes, ... Advances in Difference Equations 2016, 1-13, 2016 | 105 | 2016 |
| Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative H Yépez-Martínez, JF Gómez-Aguilar Waves in Random and Complex Media 29 (4), 678-693, 2019 | 91 | 2019 |
| The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation H Yépez-Martínez, A Pashrashid, JF Gómez-Aguilar, L Akinyemi, ... Modern Physics Letters B 36 (08), 2150597, 2022 | 62 | 2022 |
| Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method H Yepez-Martinez, JF Gómez-Aguilar Waves in Random and Complex Media 31 (3), 573-596, 2021 | 58 | 2021 |
| Series solution for the time‐fractional coupled mKdV equation using the homotopy analysis method JF Gómez-Aguilar, H Yépez-Martínez, RF Escobar-Jiménez, ... Mathematical Problems in Engineering 2016 (1), 7047126, 2016 | 51 | 2016 |
| M-derivative applied to the soliton solutions for the Lakshmanan–Porsezian–Daniel equation with dual-dispersion for optical fibers H Yépez-Martínez, JF Gómez-Aguilar Optical and Quantum Electronics 51 (1), 31, 2019 | 49 | 2019 |
| The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing H Yépez-Martínez, H Rezazadeh, A Souleymanou, SPT Mukam, M Eslami, ... Chinese Journal of Physics 58, 137-150, 2019 | 41 | 2019 |
| Local M-derivative of order and the modified expansion function method applied to the longitudinal wave equation in a magneto electro-elastic circular rod H Yépez-Martínez, JF Gómez-Aguilar Optical and Quantum Electronics 50 (10), 375, 2018 | 36 | 2018 |
| M-derivative applied to the dispersive optical solitons for the Schrödinger-Hirota equation H Yépez-Martínez, JF Gómez-Aguilar The European Physical Journal Plus 134 (3), 93, 2019 | 30 | 2019 |
| Phase transitions in algebraic cluster models H Yepez-Martinez, J Cseh, PO Hess Physical Review C—Nuclear Physics 74 (2), 024319, 2006 | 30 | 2006 |
| New solutions to the fractional perturbed Chen–Lee–Liu equation with a new local fractional derivative H Yépez-Martínez, H Rezazadeh, M Inc, M Ali Akinlar Waves in Random and Complex Media 34 (3), 1151-1186, 2024 | 29 | 2024 |
| Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel H Yépez-Martínez, JF Gómez-Aguilar Mathematical Modelling of Natural Phenomena 13 (1), 13, 2018 | 26 | 2018 |
