Application of homotopy-perturbation method to fractional IVPs

被引：69

作者：

Abdulaziz, O. ^{[1
]}

Hashim, I. ^{[1
]}

Momani, S.

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi Selangor 43600, Malaysia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 216卷 / 02期

关键词：

fractional IVPs; homotopy-perturbation method; Caputo's fractional derivative;

D O I：

10.1016/j.cam.2007.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：574 / 584

页数：11

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