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math.NA2025
A -Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations
Fabio Durastante, Pierre-Louis Giscard, Stefano Pozza
This article presents a novel solution method for nonautonomous linear ordinary fractional differential equations. The approach is based on reformulating the analytical solution us…
math.NA2022
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants
Lidia Aceto, Fabio Durastante
In this article, we focus on the error that is committed when computing the matrix logarithm using the Gauss--Legendre quadrature rules. These formulas can be interpreted as Padé a…
math.NA2022★ 14 cited
Efficient computation of the Wright function and its applications to fractional diffusion-wave equations
Lidia Aceto, Fabio Durastante
In this article, we deal with the efficient computation of the Wright function in the cases of interest for the expression of solutions of some fractional differential equations. T…