APPLICATION OF MULTI-DIMENSIONAL OF CONFORMABLE SUMUDU DECOMPOSITION METHOD FOR SOLVING CONFORMABLE SINGULAR FRACTIONAL COUPLED BURGER'S EQUATION

doi:10.1007/s10473-021-0517-2

Abstract

Abstract: In this article, several theorems of fractional conformable derivatives and triple Sumudu transform are given and proved. Based on these theorems, a new conformable triple Sumudu decomposition method (CTSDM) is intrduced for the solution of singular two-dimensional conformable functional Burger's equation. This method is a combination of the decomposition method (DM) and Conformable triple Sumudu transform. The exact and approximation solutions obtained by using the suggested method in the sense of conformable. Particular examples are given to clarify the possible application of the achieved results and the exact and approximate solution are sketched by using Matlab software.

Key words: conformable double Sumudu transform, conformable fractional coupled Burgers' equations, conformable fractional derivative, conformable single Sumudu transform

CLC Number:

35A22

Hassan ELTAYEB, Said MESLOUB. APPLICATION OF MULTI-DIMENSIONAL OF CONFORMABLE SUMUDU DECOMPOSITION METHOD FOR SOLVING CONFORMABLE SINGULAR FRACTIONAL COUPLED BURGER'S EQUATION[J].Acta mathematica scientia,Series B, 2021, 41(5): 1679-1698.

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