Analytical Solution of the Fractional Linear Time-Delay Systems and their Ulam-Hyers Stability
نویسندگان
چکیده
We introduce the delayed Mittag-Leffler type matrix functions, fractional cosine, and sine use Laplace transform to obtain an analytical solution IVP for a Hilfer linear time-delay system D0,t?,?zt+Azt+?zt?h=ft of order id="M2">1<?<2 id="M3">0???1 , with nonpermutable matrices id="M4">A id="M5">? . Moreover, we study Ulam-Hyers stability system. Obtained results extend those Caputo Riemann-Liouville systems permutable new even these delay systems.
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2022
ISSN: ['1687-0042', '1110-757X']
DOI: https://doi.org/10.1155/2022/2661343