Approximate solutions of linear time-fractional differential equations

Volume 29, Issue 1, pp 60--72 http://dx.doi.org/10.22436/jmcs.029.01.06

Publication Date: August 11, 2022 Submission Date: December 23, 2021 Revision Date: February 01, 2022 Accteptance Date: March 16, 2022

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Authors

R. A. Oderinu - Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B 4000, Ogbomoso, Oyo Sate, Nigeria. J. A. Owolabi - Department of Mathematics, Bowen University, Iwo, P.M.B 284, Osun State, Nigeria. M. Taiwo - Department of Mathematics, Osun State College of Education, PMB 207, Ila-Orangun, Osun State, Nigeria.

Abstract

In this research work, the numerical scheme for obtaining the linear time-fractional differential equations was considered and the nature of these time-fractional differential equations are in sense of Caputo. A theorem was proved to show the Kamal transform of \(n\)th order Caputo derivatives. Finally, three problems were considered regarding the linear time-fractional differential equations which presented that the convergence of the scheme provided in the research are of high accuracy for solving and linear fractional differential equations.

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Keywords

• Kamal transform
• adomian polynomial
• linear time-fractional differential equations

MSC

•  26A33
•  35R11

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