Explicit Solution and Ulam–Hyers Stability of the Two-Sided Matrix Caputo Fractional Delay Differential Equations with a Single Time Lag
Year: 2026
Type: article
Abstract: In this paper, we investigate initial-value problems for two-sided matrix Caputo fractional delay differential equations with a single time lag. Combining the method of steps with the vectorization technique, we derive explicit solution representations for such linear two-sided matrix systems. Furthermore, we analyze the Ulam–Hyers stability of the considered systems. Two illustrative numerical examples are presented to demonstrate our main theoretical findings. Our key results resolve several open problems recently proposed in the literature.
Source: Fractal and Fractional
Authors: Zhenyu Bai, Kui Liu
Institution: Guizhou University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,258
OpenAlex ID: W7204493129