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Hussein–Jassim method for solving fractional ordinary delay differential equations

Author(s): Abubker Ahmed1,2
1University of Science and Technology, College of Engineering (Sudan)
2Al Mughtaribeen University, College of Engineering, Department of General Sciences (Sudan)
Copyright © Abubker Ahmed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The current study focuses on the investigation and develop of a new approach called Hussein–Jassim method (HJM), suggested lately by Hassan et al.; specifically, we investigate its applicability to fractional ordinary delay differential equations in the Caputo fractional sense. Several examples are offered to demonstrate the method’s reliability. The results of this study demonstrate that the proposed method is highly effective and convenient for solving fractional delay differential equations.

Keywords: delay differential equation, Hussein–Jassim method, Caputo fractional derivative