Approximate analytical solutions of fractional order differential equations by conformable Sumudu decomposition method

Fadhel, Fadhel S.; Altaie, Huda Omran; Hussein, Qays Jasem

doi:10.47974/JIM-1754

Open Access Research Article

Approximate analytical solutions of fractional order differential equations by conformable Sumudu decomposition method

Fadhel S. Fadhelfsf@sc.nahrainuniv.edu.iqDepartment of Mathematics and Computer ApplicationsCollege of ScienceAl-Nahrain UniversityBaghdad, IraqView full profile → , ^*Huda Omran AltaieCorresponding authorhuda.h.o@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Sciences (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile → , Qays Jasem Husseinqaisalsaadm@gmail.comDepartment of MathematicsCollege of Education for Pure Sciences (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile →

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pp. 699–704Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1754XML

Received:: 18 Oct 2023
Published Online:: 31 May 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1754
Pages:: 699–704

Abstract

This work offers a fast, approximate analytical technique for solving time fractional differential equations. CSTADM is a gentle combination of two powerful approaches to solve fractional PDE’s. The hybrid approach suggested here produces more accurate findings and convergent solution series faster. Also, the proposed approach is used to get the analytical solution of nonlinear fractional PDE’s. The fractional derivative’s type is assumed to be conformable. Compared to standard fractional derivative definitions, this approach is effective and straightforward in applications involving fractional differential equations with complicated solutions. Furthermore, the results show that the acquired results increase the precision and efficacy of the proposed technique.

Keywords

Differential equations Sumudu decomposition Analytical solutions Fractional order differential equations

Subject Classifications

05C5117C27

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