A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process-Reference-Cited by-同舟云学术

A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process

Published:2023-12-13 Issue:24 Volume:11 Page:4949
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Moumen Abdelkader¹,Ferhat Mohamed²,Benaissa Cherif Amin²,Bouye Mohamed³,Biomy Mohamad⁴⁵

Affiliation:

1. Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia

2. Department of Mathematics, Faculty of Mathematics and Informatics, University of Science and Technology of Oran Mohamed-Boudiaf (USTOMB), El Mnaouar, BP 1505, Bir El Djir 31000, Algeria

3. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

4. Department of Management Information Systems, College of Business Administration, Qassim University, Buraydah 52571, Saudi Arabia

5. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42511, Egypt

Abstract

Conditions for the existence and uniqueness of mild solutions for a system of semilinear impulsive differential equations with infinite fractional Brownian movements and the Wiener process are established. Our approach is based on a novel application of Burton and Kirk’s fixed point theorem in extended Banach spaces. This paper aims to extend current results to a differential-inclusions scenario. The motivation of this paper for impulsive neutral differential equations is to investigate the existence of solutions for impulsive neutral differential equations with fractional Brownian motion and a Wiener process (topics that have not been considered and are the main focus of this paper).

Funder

King Khalid University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/24/4949/pdf

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