The fractional variational iteration method using He's polynomials

被引：73
作者：
Guo, Shimin [1 ]
Mei, Liquan [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
来源：
PHYSICS LETTERS A | 2011年 / 375卷 / 03期
基金：
美国国家科学基金会;
关键词：
Fractional variational iteration method; Homotopy perturbation method; Modified Riemann-Liouville derivative; Fractional differential equation; Solitary wave solution; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; SOLITARY SOLUTIONS; INITIAL CONDITIONS; KDV EQUATIONS; SINE-COSINE; DIFFUSION; ORDER; COMPACT; WAVES;
D O I：
10.1016/j.physleta.2010.11.047
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, by introducing He's polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie's modified Riemann-Liouville derivative. Several examples have been solved to illustrate the proposed method is quite effective and convenient for solving kinds of nonlinear fractional order problems. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：309 / 313
页数：5
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