A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line

被引：33
作者：
Bhrawy, Ali H. [1 ,2 ]
Alghamdi, Mohammed M. [1 ]
Taha, Taha M. [2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
operational matrix; modified generalized Laguerre polynomials; tau method; multi-term FDEs; Riemann-Liouville fractional integration; BOUNDARY-VALUE-PROBLEMS; COLLOCATION METHOD; ORDERS;
D O I：
10.1186/1687-1847-2012-179
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derived a new operational matrix of fractional integration of arbitrary order for modified generalized Laguerre polynomials. The fractional integration is described in the Riemann-Liouville sense. This operational matrix is applied together with the modified generalized Laguerre tau method for solving general linear multi-term fractional differential equations (FDEs). Only small dimension of a modified generalized Laguerre operational matrix is needed to obtain a satisfactory result. Illustrative examples reveal that the present method is very effective and convenient for linear multi-term FDEs on a semi-infinite interval.
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页数：12
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