Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

被引：320
|
作者：
Odibat, Zaid [1 ]
Momani, Shaher [2 ]
机构：
[1] Al Balqa Appl Univ, Prince Abdullah Bin Ghazi Fac Sci & IT, Salt 19117, Jordan
[2] Mutah Univ, Dept Math, Al Karak, Jordan
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 36卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2006.06.041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a modification of He's homotopy perturbation method is presented. The new modification extends the application of the method to solve nonlinear differential equations of fractional order. In this method, which does not require a small parameter in an equation, a homotopy with an imbedding parameter p is an element of [0,1] is constructed. The proposed algorithm is applied to the quadratic Riccati differential equation of fractional order. The results reveal that the method is very effective and convenient for solving nonlinear differential equations of fractional order. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：167 / 174
页数：8
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