Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations

Autor:	A. M. Sayed Ahmed, Hamdy M. Ahmed, Karim K. Ahmed, Farah M. Al-Askr, Wael W. Mohammed
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Delay stochastic differential equation Lévy noise Fractional derivative Impulsive Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2024, Iss 1, Pp 1-18 (2024)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-024-01898-4
Popis:	Abstract As delays are common, persistent, and ingrained in daily life, it is imperative to take them into account. In this work, we explore the averaging principle for impulsive Atangana–Baleanu fractional stochastic delay differential equations driven by Lévy noise. The link between the averaged equation solutions and the equivalent solutions of the original equations is shown in the sense of mean square. To achieve the intended outcomes, fractional calculus, semigroup properties, and stochastic analysis theory are used. We also provide an example to demonstrate the practicality and relevance of our research.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d2d3b174d0d546aeb4747be7e3587761 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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