Convergence of the variational iteration method for solving multi-order fractional differential equations

被引：67

作者：

Yang, Shuiping ^{[1
,2
]}

Xiao, Aiguo ^{[1
]}

Su, Hong ^{[1
]}

机构：

[1] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[2] Huizhou Univ, Dept Math, Huizhou 516007, Guangdong, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 10期

关键词：

Fractional differential equations; Variational iteration method; Convergence; Fractional calculus; NUMERICAL-SOLUTION; INTEGRAL-EQUATIONS; SIMULATION; SYSTEMS; VOLTERRA;

D O I：

10.1016/j.camwa.2010.09.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the variational iteration method (VIM) is applied to obtain approximate solutions of multi-order fractional differential equations (M-FDEs). We can easily obtain the satisfying solution just by using a few simple transformations and applying the VIM. A theorem for convergence and error estimates of the VIM for solving M-FDEs is given. Moreover, numerical results show that our theoretical analysis are accurate and the VIM is a powerful method for solving M-FDEs. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2871 / 2879

页数：9

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