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Application of Multi-Dimensional of Conformable Sumudu Decomposition Method for Solving Conformable Singular Fractional Coupled Burger’s Equation

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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.

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Acknowledgements

The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding this Research group No (RG-1440-030).

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Authors and Affiliations

  1. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    Hassan Eltayeb & Said Mesloub

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  1. Hassan Eltayeb
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  2. Said Mesloub
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Correspondence to Hassan Eltayeb.

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Eltayeb, H., Mesloub, S. Application of Multi-Dimensional of Conformable Sumudu Decomposition Method for Solving Conformable Singular Fractional Coupled Burger’s Equation. Acta Math Sci 41, 1679–1698 (2021). https://doi.org/10.1007/s10473-021-0517-2

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  • DOI: https://doi.org/10.1007/s10473-021-0517-2

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