On approximate solutions for fractional system of differential equations with Caputo-Fabrizio fractional operator

Volume 23, Issue 1, pp 58--66 http://dx.doi.org/10.22436/jmcs.023.01.06

Publication Date: October 02, 2020 Submission Date: January 21, 2020 Revision Date: May 15, 2020 Accteptance Date: August 17, 2020

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Authors

Hassan Kamil Jassim - Department of Mathematicas, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq. Mohammed Abed Shareef Hussain - Department of Mathematicas, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.

Abstract

In this paper, we apply the Daftardar-Jafari method (DJM) and Sumudu decomposition method (SDM) to obtain the approximate analytical solutions of the fractional system of differential equations with Caputo-Fabrizio fractional derivative operator. The results obtained by DJM are compared with the results obtained by SDM. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in sciences and engineering.

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Keywords

• Daftardar-Jafari method
• Sumudu transform
• Adomian decomposition method
• Caputo-Fabrizio fractional operator

MSC

•  26A33
•  34A08
•  35R11

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