Solving systems of fractional differential equations by homotopy-perturbation method

被引：124

作者：

Abdulaziz, O. ^{[1
]}

Hashim, I. ^{[1
]}

Momani, S. ^{[2
]}

机构：

[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

[2] Mutah Univ, Dept Math, Al Karak, Jordan

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 04期

关键词：

Homotopy-perturbation method; Fractional differential equations; Caputo fractional derivative;

D O I：

10.1016/j.physleta.2007.07.059

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, approximate analytical solutions of systems of Fractional Differential Equations (FDEs) are derived by the Homotopy-Perturbation Method (HPM). The fractional derivatives are described in the Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions of nonlinear systems of FDEs. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：451 / 459

页数：9

共 41 条

[1]

Abdulaziz O., 2007, FAR E J APPL MATH, V28, P95

[2]

ABDULAZIZ O, IN PRESS FAR E J APP

[3]

[Anonymous], J APPL MATH

[4]

[Anonymous], INT J MOD PHYS B

[5]

[Anonymous], 1999, APPL FRACTIONAL CALC

[6] SOLUTION OF NONINTEGER ORDER DIFFERENTIAL-EQUATIONS VIA THE ADOMIAN DECOMPOSITION METHOD [J].

ARORA, HL ;

ABDELWAHID, FI .

APPLIED MATHEMATICS LETTERS, 1993, 6 (01) :21-23

[7]

Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65

[8] Adomian decomposition: a tool for solving a system of fractional differential equations [J].

Daftardar-Gejji, V ;

Jafari, H .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (02) :508-518

[9] Analysis of fractional differential equations [J].

Diethelm, K ;

Ford, NJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248

[10] Numerical solution of fractional order differential equations by extrapolation [J].

Diethelm, K ;

Walz, G .

NUMERICAL ALGORITHMS, 1997, 16 (3-4) :231-253

← 1 2 3 4 5 →