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
174 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
139 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
122 2017 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
122 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
114 2019 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 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
104 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
103 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
100 2018 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
88 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
59 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
55 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, 1-8, 2016
50 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
47 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 Phase transitions in algebraic cluster models H Yepez-Martinez, J Cseh, PO Hess
Physical Review C 74 (2), 024319, 2006
30 2006 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
29 2019 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, 1-36, 2021
26 2021 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