Compactons solutions for the fractional nonlinear dispersive \(K(2,2)\) equations by the homotopy perturbation method

D. Ziane; K. Belghaba; M. Hamdi Cherif

doi:10.26637/mjm401/020

Abstract

In this paper, the homotopy perturbation is successively used to obtain approximate analytical solutions of the nonlinear dispersive \(K(2,2)\) equation with time and space derivative. Comparison between the numerical and the exact solutions revealed that HPM is an alternative analytical method for solving fractional differential equations.

Keywords:

Caputo fractional derivative, homotopy perturbation method, fractional differential equations, \(K(2,2)\) equation

Mathematics Subject Classification:

35R11, 35Q53, 35A15, 47H15, 65P05, 26A33

Authors Imprint References Funding Related Articles Downloads

D. Ziane Laboratory of Mathematics and its Applications (LAMAP), University of Oran1, P.O. Box 1524, Oran, 31000, Algeria.
K. Belghaba Laboratory of Mathematics and its Applications (LAMAP), University of Oran1, P.O. Box 1524, Oran, 31000, Algeria.
M. Hamdi Cherif Laboratory of Mathematics and its Applications (LAMAP), University of Oran1, P.O. Box 1524, Oran, 31000, Algeria.

Pages: 178-185
Date Published: 01-01-2016
Vol. 4 No. 01 (2016): Malaya Journal of Matematik (MJM)

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