Solution of nonlinear fractional differential equations using homotopy analysis method

被引：59

作者：

Ganjiani, Mehdi ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Mech Engn, Tehran, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2010年 / 34卷 / 06期

关键词：

Homotopy analysis method; Nonlinear differential equations; Fractional order; FLOWS;

D O I：

10.1016/j.apm.2009.09.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, the homotopy analysis method has been applied to solve nonlinear differential equations of fractional order. The validity of this method has successfully been accomplished by applying it to find the solution of two nonlinear fractional equations. The results obtained by homotopy analysis method have been compared with those exact solutions. The results show that the solution of homotopy analysis method is good agreement with the exact solution. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.

引用

页码：1634 / 1641

页数：8

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