INVESTIGATION OF FRACTIONAL ORDER SINE-GORDON EQUATION USING LAPLACE ADOMIAN DECOMPOSITION METHOD-Reference-Cited by-同舟云学术

INVESTIGATION OF FRACTIONAL ORDER SINE-GORDON EQUATION USING LAPLACE ADOMIAN DECOMPOSITION METHOD

Published:2021-06-18 Issue:05 Volume:29 Page:2150121
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ALI AMIR¹^ORCID,GUL ZAMIN²,KHAN WAJAHAT ALI¹,AHMAD SAEED¹,ZEB SALMAN¹

Affiliation:

1. Department of Mathematics, University of Malakand, Dir(L), KP, Pakistan

2. Higher Education Department, Peshawar, KP Pakistan

Abstract

We analytically investigate a nonlinear fractional-order sine-Gordon (sG) equation. The derivatives considered herein, are taken in Caputo’s sense. The Laplace transform together with the Adomian decomposition method (LADM) is applied to attain analytical approximation of the aforesaid equation. The sG equation having Caputo derivative is solved in the order of series solutions and the results are confirmed by considering two examples with appropriate initial conditions. The numerical simulations are accomplished to compare with the analytical approximations, where qualitatively better agreements are achieved.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21501218

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