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
收藏
页码：5452 / 5458
页数：7
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