The approximate analytical solutions of nonlinear fractional ordinary differential equations

	The approximate analytical solutions of nonlinear fractional ordinary differential equations
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 527-535 اصل مقاله (349.49 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5094
نویسندگان
Lamees K. Alzaki^* ¹؛ Hassan Kamil Jassim²
¹Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
²Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq
چکیده
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.
کلیدواژه‌ها
Homotopy perturbation method؛ fractional differential equation؛ sumudu transform, Caputo fractional derivative
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