数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (5): 1679-1698.doi: 10.1007/s10473-021-0517-2

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

Hassan ELTAYEB, Said MESLOUB   

  1. Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
  • 收稿日期:2019-09-26 修回日期:2021-03-24 出版日期:2021-10-25 发布日期:2021-10-21
  • 通讯作者: Hassan ELTAYEB E-mail:hgadain@ksu.edu.sa
  • 作者简介:Said MESLOUB,E-mail:mesloub@ksu.edu.sa

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

Hassan ELTAYEB, Said MESLOUB   

  1. Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
  • Received:2019-09-26 Revised:2021-03-24 Online:2021-10-25 Published:2021-10-21
  • Contact: Hassan ELTAYEB E-mail:hgadain@ksu.edu.sa

摘要: 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.

关键词: conformable double Sumudu transform, conformable fractional coupled Burgers' equations, conformable fractional derivative, conformable single Sumudu transform

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

中图分类号: 

  • 35A22