Decomposition-transform method for Fractional Differential Equations

被引：0

作者：

Faraz, Naeem ^{[2
]}

Khan, Yasir ^{[3
]}

Sankar, D. S. ^{[1
]}

机构：

[1] Univ Sci Malaysia, Sch Math Sci, George Town 11800, Malaysia

[2] Donghua Univ, Modern Text Inst, Shanghai 200051, Peoples R China

[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2010年 / 11卷

关键词：

Laplace Transforms method; Adomian decomposition method; Fractional partial differential equations; VARIATIONAL ITERATION METHOD; DIFFUSION-WAVE EQUATION; ADOMIAN DECOMPOSITION; APPROXIMATE SOLUTIONS; ORDER; SYSTEM; FLUID;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a combinatory method of the Laplace transform and the Adomian decomposition method is proposed to solve fractional differential equations. In this scheme the solution takes the form of a convergent series with easily computable components. The chosen initial solution plays a major role as it must be of exponential order. Furthermore the basic theory of Laplace transform involving Riemann-Liouville derivative is also studied. Two examples are given to demonstrate the effectiveness of the present method.

引用

页码：305 / 310

页数：6

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