Document Type : Research Paper

Authors

• Lamees K. Alzaki ¹
• Hassan Kamil Jassim ²

¹ Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

² Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq

Abstract

The Sumudu homotopy perturbation method (SHPM) is applied to solve fractional order nonlinear differential equations in this paper.The current technique incorporates two notable  strategies in particular Sumudu transform (ST) and homotopy perturbation method (HPM). The  proposed method’s hybrid property decreases the number of the quantity of computations and  materials needed. In this method, illustration examples evaluate the accuracy and applicability of the mentioned procedure. The outcomes got by FSHPM are in acceptable concurrence with the specific  arrangement of the problem.

Keywords

• Homotopy perturbation method
• fractional differential equation
• sumudu transform, Caputo fractional derivative