A NEW SOLUTION METHOD FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

被引：7

作者：

Alkan, Sertan ^{[1
]}

机构：

[1] Mustafa Kemal Univ, Dept Math, TR-31000 Antakya, Turkey

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2015年 / 8卷 / 06期

关键词：

Nonlinear fractional Fredholm integro-differential equation; sinccollocation method; Caputo derivative; quadrature rule; mathematica; BOUNDARY-VALUE-PROBLEMS; SINC-GALERKIN METHOD; COLLOCATION METHODS;

D O I：

10.3934/dcdss.2015.8.1065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to obtain approximate solution of a class of nonlinear fractional Fredholm integro-differential equations by means of sinccollocation method which is not used for solving them in the literature before. The fractional derivatives are defined in the Caputo sense often used in fractional calculus. The important feature of the present study is that obtained results are stated as two new theorems. The introduced method is tested on some nonlinear problems and it seems that the method is a very efficient and powerful tool to obtain numerical solutions of nonlinear fractional integro-differential equations.

引用

页码：1065 / 1077

页数：13

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