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 ⋆-product, a generalization of the Volterra convolution, followed by an appropriate discretization of the resulting expression. Additionally, we demonstrate that, in certain cases, the ⋆-formalism enables the derivation of closed-form solutions, further highlighting the utility of this framework.
A ⋆-Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations
Durastante F.;Pozza S.
2026-01-01
Abstract
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 ⋆-product, a generalization of the Volterra convolution, followed by an appropriate discretization of the resulting expression. Additionally, we demonstrate that, in certain cases, the ⋆-formalism enables the derivation of closed-form solutions, further highlighting the utility of this framework.File in questo prodotto:
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