A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials

05/23/2022

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by   P. Amodio, et al.

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In this note we provide an algorithm for computing the fractional integrals of orthogonal polynomials, which is more stable than that using the expression of the polynomials w.r.t. the canonical basis. This algorithm is aimed at solving corresponding fractional differential equations. A few numerical examples are reported.