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A new operationalmatrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived.The fractional
integration is described in the Riemann-Liouville sense.This operational matrix is applied together with generalized Laguerre tau
method for solving general linearmultitermfractional differential equations (FDEs).Themethod has the advantage of obtaining the
solution in terms of the generalized Laguerre parameter. In addition, only a small dimension of generalized Laguerre operational
matrix is needed to obtain a satisfactory result. Illustrative examples reveal that the proposedmethod is very effective and convenient
for linear multiterm FDEs on a semi-infinite interval.
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Hindawi Publishing Corporation
