文章基本信息

标题：A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line
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作者：Ali H Bhrawy ; Mohammed M Alghamdi ; Taha M Taha 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：179
DOI：10.1186/1687-1847-2012-179
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：operational matrix ; modified generalized Laguerre polynomials ; tau method ; multi-term FDEs ; Riemann-Liouville fractional integration