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 …, 2019 - Taylor & Francis
In this paper, we present the exact solutions obtained for the space–time conformable
generalized Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the …

[HTML][HTML] 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… - Revista mexicana de …, 2016 - scielo.org.mx
In this paper, the fractional derivatives in the sense of the modified Riemann-Liouville
derivative and the Feng's first integral method are employed for solving the important …

Series solution for the time‐fractional coupled mKdV equation using the homotopy analysis method

JF Gómez-Aguilar, H Yépez-Martínez… - Mathematical …, 2016 - Wiley Online Library
We present new analytical approximated solutions for the space‐time fractional nonlinear
partial differential coupled mKdV equation. A homotopy analysis method is considered to …

[PDF][PDF] Fractional sub-equation method and analytical solutions to the Hirota-Satsuma coupled KdV equation and coupled mKdV equation

H Yépez-Martínez, JM Reyes… - British Journal of …, 2014 - researchgate.net
The fractional sub-equation method is proposed to construct analytical solutions of nonlinear
fractional partial differential equations (FPDEs), involving Jumarie's modified Riemann …

An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions

M Zarebnia, R Parvaz - Computational Methods for Differential …, 2021 - cmde.tabrizu.ac.ir
In this work, the collocation method based on B-spline functions is used to obtain a
numerical solution for a one-dimensional hyperbolic telegraph equation. The proposed …

[引用][C] H. Yépez-Martínez1 JM Reyes1 and IO Sosa1 6

P San Isidro, CSL Tezonco