Convergence analysis of homotopy perturbation method for Volterra integro-differential equations of fractional order

被引：20

作者：

Sayevand, K. ^{[1
]}

Fardi, M. ^{[2
]}

Moradi, E. ^{[3
]}

Boroujeni, F. Hemati ^{[2
]}

机构：

[1] Malayer Univ, Fac Math Sci, Malayer, Iran

[2] Islamic Azad Univ, Najafabad Branch, Dept Math, Najafabad, Iran

[3] Kharazmi Univ, Fac Math Sci & Comp, Tehran, Iran

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2013年 / 52卷 / 04期

关键词：

Fractional integro-differential equations; Caputo fractional derivative; Riemann-Liouville fractional derivative; Convergence analysis;

D O I：

10.1016/j.aej.2013.08.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based on the homotopy perturbation method (HPM), a general analytical approach for obtaining approximate series solutions to Volterra integro-differential equations of fractional order is proposed. The approximate solutions are calculated in the form of a convergent series with easily computable components. In this paper, the uniqueness of the obtained solution and the convergence properties of the approach are studied. Some examples are presented, to verify convergence, and illustrating the efficiency and simplicity of the approach. (C) 2013 Production and hosting by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

引用

页码：807 / 812

页数：6

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