Solving fractional diffusion and wave equations by modified homotopy perturbation method

被引：115
|
作者：
Jafari, Hossein
Momani, Shaher
机构：
[1] Univ Mazandaran, Dept Math & Comp Sci, Babol Sar, Iran
[2] Qatar Univ, Dept Math & Phys, Doha, Qatar
来源：
PHYSICS LETTERS A | 2007年 / 370卷 / 5-6期
关键词：
fractional partial differential equation; homotopy perturbation method; fractional diffusion equation; fractional wave equation; caputo fractional derivative;
D O I：
10.1016/j.physleta.2007.05.118
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：388 / 396
页数：9
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