Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations

被引：118

作者：

Heydari, M. H. ^{[1
]}

Hooshmandasl, M. R. ^{[1
]}

Mohammadi, F. ^{[2
]}

Cattani, C. ^{[3
]}

机构：

[1] Yazd Univ, Fac Math, Yazd, Iran

[2] Hormozgan Univ, Fac Sci, Dept Math, Bandarabbas, Iran

[3] Univ Salerno, Dept Math, I-84084 Fisciano, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 01期

关键词：

Singular fractional Volterra integro-differential equations; Chebyshev wavelets; Operational matrix; Error analysis;

D O I：

10.1016/j.cnsns.2013.04.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a computational method for solving a class of system of nonlinear singular fractional Volterra integro-differential equations. First, existences of a unique solution for under studying problem is proved. Then, shifted Chebyshev polynomials and their properties are employed to derive a general procedure for forming the operational matrix of fractional derivative for Chebyshev wavelets. The application of this operational matrix for solving mentioned problem is explained. In the next step, the error analysis of the proposed method is investigated. Finally, some examples are included for demonstrating the efficiency of the proposed method. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：37 / 48

页数：12

共 31 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2] Chebyshev wavelets approach for nonlinear systems of Volterra integral equations [J].