Explicit solutions and finite-time stability for fractional delay systems

Ahmed M. Elshenhab, Xing Tao Wang and Mohamed Hosny

Applied Mathematics and Computation, 2025, vol. 498, issue C

Abstract: Finite-time stability and explicit solutions are considered for nonhomogeneous fractional systems with pure delay. First, explicit solutions are obtained by using new delayed Mittag-Leffler-type matrix functions. Second, the finite-time stability results are obtained by utilizing these explicit solutions and the norm estimate of these delayed Mittag-Leffler-type matrix functions. The results improve, extend, and complement the previous works. Finally, an example is provided to illustrate the importance of the results.

Keywords: Explicit solutions; Finite-time stability; Fractional delay systems; Fractional delayed matrix Mittag-Leffler function (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:498:y:2025:i:c:s0096300325001158

DOI: 10.1016/j.amc.2025.129388

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