Efficient quadrature rules for solving nonlinear fractional integro-differential equations of the Hammerstein type

被引：12

作者：

Susahab, D. Nazari ^{[1
]}

Shahmorad, S. ^{[2
]}

Jahanshahi, M. ^{[1
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz 5375171379, Iran

[2] Univ Tabriz, Dept Appl Math, Tabriz 5166616471, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 18期

关键词：

Quadrature method; Hammerstein type; Fractional integro-differential equations; OPERATIONAL MATRIX; VOLTERRA;

D O I：

10.1016/j.apm.2015.01.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to solve nonlinear fractional integro-differential equations of the Hammerstein type. The basic idea is to convert fractional integro-differential equations to a type of second kind Volterra integral equations. Then the obtained Volterra integral equation will be solved with some suitable quadrature rules. We are interested in using a simple method to obtain riveting results. Numerical tests for demonstrating the convergence and accuracy of the method will be included. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：5452 / 5458

页数：7

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