Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods-Reference-Cited by-同舟云学术

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

Published:2021-04-21 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ben Makhlouf Abdellatif¹²^ORCID,Mchiri Lassaad³^ORCID,Rhaima Mohamed³⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Jouf University, Saudi Arabia

2. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

3. Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia

4. University of Tunis Manar, Faculty of Sciences of Tunis, Department of Mathematics, Tunisia

Abstract

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.

Funder

Deanship of Scientific Research, King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5544847.pdf

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