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Alzaki, Lamees, Jassim, Hassan. (1400). The approximate analytical solutions of nonlinear fractional ordinary differential equations. نشریه هنرهای کاربردی, 12(2), 527-535. doi: 10.22075/ijnaa.2021.5094
Lamees K. Alzaki; Hassan Kamil Jassim. "The approximate analytical solutions of nonlinear fractional ordinary differential equations". نشریه هنرهای کاربردی, 12, 2, 1400, 527-535. doi: 10.22075/ijnaa.2021.5094
Alzaki, Lamees, Jassim, Hassan. (1400). 'The approximate analytical solutions of nonlinear fractional ordinary differential equations', نشریه هنرهای کاربردی, 12(2), pp. 527-535. doi: 10.22075/ijnaa.2021.5094
Alzaki, Lamees, Jassim, Hassan. The approximate analytical solutions of nonlinear fractional ordinary differential equations. نشریه هنرهای کاربردی, 1400; 12(2): 527-535. doi: 10.22075/ijnaa.2021.5094

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
تاریخ دریافت: 16 بهمن 1399،  تاریخ بازنگری: 29 فروردین 1400،  تاریخ پذیرش: 21 اردیبهشت 1400 
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
مراجع

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