Well-Posedness and Hyers–Ulam Stability of Fractional Stochastic Delay Systems Governed by the Rosenblatt Process

Autor:	Ghada AlNemer, Mohamed Hosny, Ramalingam Udhayakumar, Ahmed M. Elshenhab
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	well-posedness Hyers–Ulam stability fractional stochastic delay system Rosenblatt process delayed Mittag–Leffler matrix function Krasnoselskii’s fixed point theorem Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 6, p 342 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8060342
Popis:	Under the effect of the Rosenblatt process, the well-posedness and Hyers–Ulam stability of nonlinear fractional stochastic delay systems are considered. First, depending on fixed-point theory, the existence and uniqueness of solutions are proven. Next, utilizing the delayed Mittag–Leffler matrix functions and Grönwall’s inequality, sufficient criteria for Hyers–Ulam stability are established. Ultimately, an example is presented to demonstrate the effectiveness of the obtained findings.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ee1654450f2747bca22d73d0879126da Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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