文章基本信息

标题：The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications
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作者：Ali H Bhrawy ; Mohammed A Alghamdi
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：307
DOI：10.1186/1687-1847-2013-307
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, the modified generalized Laguerre operational matrix (MGLOM) of Caputo fractional derivatives is constructed and implemented in combination with the spectral tau method for solving linear multi-term FDEs on the half-line. In this approach, truncated modified generalized Laguerre polynomials (MGLP) together with the modified generalized Laguerre operational matrix of Caputo fractional derivatives are analyzed and applied for numerical integration of such equations subject to initial conditions. The modified generalized Laguerre pseudo-spectral approximation based on the modified generalized Laguerre operational matrix is investigated to reduce the nonlinear multi-term FDEs and their initial conditions to a nonlinear algebraic system. Through some numerical experiments, we evaluate the accuracy and efficiency of the proposed methods. The methods are easy to implement and yield very accurate results.
关键词：nonlinear fractional differential equations ; operational matrix ; tau method ; pseudo-spectral approximation ; modified generalized Laguerre polynomials ; Caputo derivative