Fractional Sumudu Decomposition Method for Solving PDEs of Fractional Order

. In this paper, the fractional Sumudu decomposition method (FSDM) is employed to handle the time-fractional PDEs and system of time-fractional PDEs. The fractional derivative is described in the Caputo sense. The approximate solutions are obtained by using FSDM, which is the coupling method of frac...

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Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 7; no. 1; pp. 302 - 311
Main Authors Hassan Kamil Jassim, Habeeb Kadmim
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.12.2021
Subjects
adomian decomposition method
fokker plank equation
nonlinear gas dynamic equation
sumudu transform
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ISSN2383-4536
2383-4536
DOI10.22055/jacm.2020.31776.1920

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Summary:. In this paper, the fractional Sumudu decomposition method (FSDM) is employed to handle the time-fractional PDEs and system of time-fractional PDEs. The fractional derivative is described in the Caputo sense. The approximate solutions are obtained by using FSDM, which is the coupling method of fractional decomposition method and Sumudu transform. The method, in general, is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the proposed technique.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2020.31776.1920