具有无限延迟的耦合随机一阶脉冲微分方程的存在性结果

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-12-21 DOI:10.3390/fractalfract8010010

Abdelkader Moumen, F. Z. Ladrani, Mohamed Ferhat, Amin Benaissa Cherif, Mohamed Bouye, Keltoum Bouhali

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引用次数: 0

摘要

在本文中，我们考虑了一个具有无限延迟的随机脉冲微分方程系统。在对 Y1、Y2 和 ϖ1、ϖ2 进行适当假设的情况下，利用 Leray-Schauder 定点原理的非线性变化以及基于可分离向量值度量的技术来建立解存在性的充分条件，这极大地丰富了有关该系统的存在性文献，然而，在凸情况下讨论唯一性结果却没有希望。在本研究中，我们分析了脉冲和无限延迟对系统解的影响。此外，据我们所知，目前还没有关于存在冲动和无限延迟的耦合随机系统的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.