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

Authors :
Abdelkader Moumen
Mohamed Ferhat
Amin Benaissa Cherif
Mohamed Bouye
Mohamad Biomy
Source :
Mathematics, Vol 11, Iss 24, p 4949 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

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).

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
24
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.3bb34dc1894140d1af765a0791f7cfbd
Document Type :
article
Full Text :
https://doi.org/10.3390/math11244949