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

Advances in Difference Equations

Mohammed M Alghamdi¹  Taha M Taha²  Ali H Bhrawy² 

[1] Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: operational matrix;    modified generalized Laguerre polynomials;    tau method;    multi-term FDEs;    Riemann-Liouville fractional integration;   

DOI  :  10.1186/1687-1847-2012-179

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY