Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform

被引：0
|
作者：
Liu, Yanqin [1 ,2 ]
Xu, Fengsheng [1 ]
Yin, Xiuling [1 ,2 ]
机构：
[1] Dezhou Univ, Sch Math Sci, Dezhou 253023, Peoples R China
[2] Dezhou Univ, Ctr Data Proc & Anal, Dezhou 253023, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
HOMOTOPY PERTURBATION METHOD; ITERATION METHOD; DIFFERENTIAL-EQUATIONS; DIFFUSION;
D O I：
10.1155/2013/819268
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel modification of the variational iteration method is proposed by means of Laplace transform and homotopy perturbation method. The fractional lagrange multiplier is accurately determined by the Laplace transform and the nonlinear one can be easily handled by the use of He's polynomials. Several fractional nonlinear nonhomogeneous equations are analytically solved as examples and the methodology is demonstrated.
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页数：9
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