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

被引：66
|
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.
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页码：2871 / 2879
页数：9
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