Existence and stability of mild solutions to non autonomous impulsive stochastic neutral integrodifferential equations
Year: 2024
Type: article
Abstract: The research presented in this article focuses on studying a specific category of impulsive stochastic neutral integrodifferential systems in real Hilbert space. The first step in this process is to derive sufficient conditions for the existence and uniqueness of a mild solutions. We obtain our results using Banach's fixed point theorem and various techniques from stochastic analysis. In addition, an investigation of the exponential \(p\)-stability of the mild solutions is carried out. For an illustration of how our findings can be used, see the final section of this paper.
Authors: P. A. Thiam, Kh. Elbou, S. A. Abdi, M. A. Diop
Institutions: Université Gaston Berger, Université de Nouakchott
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4403144159