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

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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ISRP Style

R. A. Oderinu, J. A. Owolabi, M. Taiwo, Approximate solutions of linear time-fractional differential equations, Journal of Mathematics and Computer Science, 29 (2023), no. 1, 60--72

AMA Style

Oderinu R. A., Owolabi J. A., Taiwo M., Approximate solutions of linear time-fractional differential equations. J Math Comput SCI-JM. (2023); 29(1):60--72

Chicago/Turabian Style

Oderinu, R. A., Owolabi, J. A., Taiwo, M.. "Approximate solutions of linear time-fractional differential equations." Journal of Mathematics and Computer Science, 29, no. 1 (2023): 60--72


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