Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method

被引：7

作者：

Balci, Mehmet Ali ^{[1
]}

Yildirim, Ahmet ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Bornova, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2011年 / 66卷 / 1-2期

关键词：

Homotopy Perturbation Method; Time Fractional Nonlinear Fractional Differential Equations; VARIATIONAL ITERATION; DERIVATIVES; ORDER;

D O I：

10.1515/zna-2011-1-213

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this study, we used the homotopy perturbation method (HPM) for solving fractional nonlinear differential equations. Three models with fractional-time derivative of order alpha, 0 < alpha < 1, are considered and solved. The numerical results demonstrate that this method is relatively accurate and easily implemented.

引用

页码：87 / 92

页数：6

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[2]

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[3]

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[4]

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