A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line. (English) Zbl 1380.34008
Summary: 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.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A25 | Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. |
| 34A30 | Linear ordinary differential equations and systems |
Keywords:
operational matrix; modified generalized Laguerre polynomials; tau method; multi-term FDEs; Riemann-Liouville fractional integrationReferences:
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