Ulam-Hyers-Rassias stability of stochastic functional differential equations via fixed point methods
type: Item
instance of: scholarly article
title: Ulam-Hyers-Rassias stability of stochastic functional differential equations via fixed point methods
zbMATH Open document ID: 1481.60103
DOI: 10.1155/2021/5544847
author: Abdellatif Ben Makhlouf
author: Lassaad Mchiri
author: Mohamed Rhaima
published in: Journal of Function Spaces
publication date: 2021-06-01T00:00:00Z
review text: Summary: The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via fixed point methods. The main goal of this paper is to investigate the Ulam-Hyers Stability (HUS) and Ulam-Hyers-Rassias Stability (HURS) of stochastic functional differential equations (SFDEs). Under the fixed point methods and the stochastic analysis techniques, the stability results for SFDE are investigated. We analyze two illustrative examples to show the validity of the results.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 7353425
zbMATH Keywords: Ulam-Hyers-Rassias stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5544847
OpenAlex ID: W3153284872
Wikidata QID: Q115243695
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description: scientific article; zbMATH DE number 7353425