Numerical approach for solving fractional Fredholm integro-differential equation

被引：14
|
作者：
Gulsu, Mustafa [1 ]
Ozturk, Yalcin [1 ]
Anapali, Ayse [1 ]
机构：
[1] Mugla Univ, Dept Math, Fac Sci, Mugla, Turkey
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 07期
关键词：
fractional fredholm integro-differential equation; fractional differential equation; Taylor matrix method; fractional Taylor series; approximate solution; DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTION; OPERATIONAL MATRIX; TAYLOR; TERMS;
D O I：
10.1080/00207160.2012.750720
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we present a new method which is based on the Taylor Matrix Method to give approximate solution of the linear fractional Fredholm integro-differential equations. This method is based on first taking the truncated Taylor expansions of the functions in the linear fractional differential part and Fredholm integral part then, substituting their matrix forms into the equation. We solve this matrix equation with the assistance of Maple 13. In addition, illustrative examples are presented to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：1413 / 1434
页数：22
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