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Existence results for a coupled system of fractional stochastic differential equations involving Hilfer derivative.

Authors :
Arioui, Fatima Zahra
Source :
Random Operators & Stochastic Equations. 2024, Vol. 32 Issue 4, p313-327. 15p.
Publication Year :
2024

Abstract

In this paper, we consider a coupled system of fractional stochastic differential equations involving the Hilfer derivative of order 1 2 < α < 1 . Under some assumptions, we prove the existence of mild solutions for our system based on Perov's and Schaefer's fixed point theorems. An example illustrating our result is provided. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09266364
Volume :
32
Issue :
4
Database :
Academic Search Index
Journal :
Random Operators & Stochastic Equations
Publication Type :
Academic Journal
Accession number :
181032849
Full Text :
https://doi.org/10.1515/rose-2024-2015