Semianalytic Solution of Space-Time Fractional Diffusion Equation

被引：10
|
作者：
Elsaid, A. [1 ]
Shamseldeen, S. [1 ]
Madkour, S. [1 ]
机构：
[1] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura 35516, Egypt
来源：
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 2016卷
关键词：
D O I：
10.1155/2016/2371837
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the space-time fractional diffusion equation with spatial Riesz-Feller fractional derivative and Caputo fractional time derivative. The continuation of the solution of this fractional equation to the solution of the corresponding integer order equation is proved. The series solution of this problem is obtained via the optimal homotopy analysis method (OHAM). Numerical simulations are presented to validate the method and to show the effect of changing the fractional derivative parameters on the solution behavior.
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页数：9
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