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Analytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability

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  • Nazim I. Mahmudov
  • Yansheng Liu

Abstract

We introduce the delayed Mittag-Leffler type matrix functions, delayed fractional cosine, and delayed fractional sine and use the Laplace transform to obtain an analytical solution to the IVP for a Hilfer type fractional linear time-delay system D0,tμ,νzt+Azt+Ωzt−h=ft of order 1

Suggested Citation

  • Nazim I. Mahmudov & Yansheng Liu, 2022. "Analytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-7, September.
    • Handle: RePEc:hin:jnljam:2661343
    DOI: 10.1155/2022/2661343
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    Cited by:

    1. Selvam, Anjapuli Panneer & Govindaraj, Venkatesan, 2024. "Investigation of controllability and stability of fractional dynamical systems with delay in control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 89-104.

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