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A $\star$-Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations

A $\star$-Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations

来源:Arxiv_logoArxiv
英文摘要

This article presents a novel solution method for nonautonomous linear ordinary fractional differential equations. The approach is based on reformulating the analytical solution using the $\star$-product, a generalization of the Volterra convolution, followed by an appropriate discretization of the resulting expression. Additionally, we demonstrate that, in certain cases, the $\star$-formalism enables the derivation of closed-form solutions, further highlighting the utility of this framework.

Fabio Durastante、Pierre-Louis Giscard、Stefano Pozza

数学

Fabio Durastante,Pierre-Louis Giscard,Stefano Pozza.A $\star$-Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations[EB/OL].(2025-07-22)[2025-08-10].https://arxiv.org/abs/2507.16652.点此复制

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