Existence Result for Coupled Random First-Order Impulsive Differential Equations with Infinite Delay

Autor:	Abdelkader Moumen, Fatima Zohra Ladrani, Mohamed Ferhat, Amin Benaissa Cherif, Mohamed Bouye, Keltoum Bouhali
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	iterative methods existence of solutions impulsive equations generalized banach space Schaefer’s fixed point theorem differential equations Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 1, p 10 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8010010
Popis:	In this paper, we consider a system of random impulsive differential equations with infinite delay. When utilizing the nonlinear variation of Leray–Schauder’s fixed-point principles together with a technique based on separable vector-valued metrics to establish sufficient conditions for the existence of solutions, under suitable assumptions on Y1, Y2 and ϖ1, ϖ2, which greatly enriched the existence literature on this system, there is, however, no hope to discuss the uniqueness result in a convex case. In the present study, we analyzed the influence of the impulsive and infinite delay on the solutions to our system. In addition, to the best of our acknowledge, there is no result concerning coupled random system in the presence of impulsive and infinite delay.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/90c1664605cd44db8422f59dcee83f82 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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