A novel analytical solution of a fractional diffusion problem by homotopy analysis transform method

被引：5
|
作者：
Godal, Muhammad Asif [1 ]
Salah, Ahmed [2 ]
Khan, Majid [1 ]
Batool, Syeda Iram [1 ]
机构：
[1] Natl Univ Comp & Emerging Sci, Dept Sci & Humanities, Islamabad, Pakistan
[2] Atom Energy Author, Nucl Res Ctr, Math & Theoret Phys Dept, Cairo, Egypt
来源：
NEURAL COMPUTING & APPLICATIONS | 2013年 / 23卷 / 06期
关键词：
Fractional diffusion equation; Homotopy analysis transform method; Fractional-order derivative;
D O I：
10.1007/s00521-012-1120-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this study, we present the homotopy analysis transform method for finding solution of fractional diffusion-type equations. We can attain these equations by substituting a first-order time derivative by a fractional-order derivative in regular diffusion equation. We add some examples in order to illustrate the usefulness and efficiency of our novel proposed technique for fractional diffusion equations.
引用
收藏
页码：1643 / 1647
页数：5
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