Solutions for the fractional partial differential coupled sine-Gordon equation with Homotopy analysis method and the modified decomposition method

Mohammed K. Elboree; A. M. Yousef; S. Z. Rida

Mohammed K. Elboree Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
A. M. Yousef Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
S. Z. Rida Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

Keywords: Coupled sine-Gordon, Modified decomposition method, Fractional calculus, Homotopy analysis method.

Abstract

In this paper, we solved the coupled sine-Gordon equation of fractional order. The fractional derivatives are described in the Caputo sense. The methods are homotopy analysis method (HAM) and modified decomposition method (ADM). We use the numerical simulation to compare these solutions.

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