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

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<μ<2 and type 0...

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Bibliographic Details
Main Author: Nazim I. Mahmudov
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2022/2661343