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

中文翻译：

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关于计算正交多项式分数积分的稳定算法的注释

在这篇笔记中，我们提供了一种计算正交多项式的分数积分的算法，它比基于规范基础的多项式展开的算法更稳定。该算法旨在求解相应的分数阶微分方程。报告了一些数字插图。