Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation

被引：133
|
作者：
Jafari, H. [1 ]
Seifi, S. [1 ]
机构：
[1] Univ Mazandaran, Dept Math & Comp Sci, Babol Sar, Iran
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 05期
关键词：
Fractional partial differential equation; Fractional diffusion-wave equation; Homotopy analysis method; Caputo fractional derivative; Mittag-Leffler function;
D O I：
10.1016/j.cnsns.2008.05.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2006 / 2012
页数：7
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