A $$\star $$-Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations
Abstract
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 $$\star $$ ⋆ -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.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Fractional Calculus and Applied Analysis
- Volume
- 29
- Issue
- 4
- Pages
- 1937–1968
- Publication date
- 6 May 2026
- Language
- EN