Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods

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 i...

Full description

Saved in:
Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-7
Main Authors: Ben Makhlouf, Abdellatif, Mchiri, Lassaad, Rhaima, Mohamed
Format: Article
Language:English
Subjects:
Banach spaces
Differential equations
Fixed points (mathematics)
Mathematical analysis
Random variables
Scientific papers
Simulation
Stability analysis
Stochastic models
Stochastic systems
Stochasticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5544847