Homotopy analysis method for fractional IVPs

被引：350

作者：

Hashim, I. ^{[1
]}

Abdulaziz, O. ^{[1
]}

Momani, S.

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 03期

关键词：

Fractional IVPs; Homotopy analysis methods; Caputo's fractional derivative; APPROXIMATE SOLUTION TECHNIQUE; DIFFERENTIAL-EQUATIONS; PERTURBATION METHOD; SMALL PARAMETERS; FLOW;

D O I：

10.1016/j.cnsns.2007.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：674 / 684

页数：11

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