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

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...

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Main Authors: Abdellatif Ben Makhlouf, Lassaad Mchiri, Mohamed Rhaima
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5544847
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spelling doaj-3974532eee9548f6b123afff2085b5302021-05-03T00:00:47ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5544847Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point MethodsAbdellatif Ben Makhlouf0Lassaad Mchiri1Mohamed Rhaima2Department of MathematicsDepartment of Statistics and Operations ResearchDepartment of Statistics and Operations ResearchThe 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.http://dx.doi.org/10.1155/2021/5544847
collection DOAJ
language English
format Article
sources DOAJ
author Abdellatif Ben Makhlouf
Lassaad Mchiri
Mohamed Rhaima
spellingShingle Abdellatif Ben Makhlouf
Lassaad Mchiri
Mohamed Rhaima
Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
Journal of Function Spaces
author_facet Abdellatif Ben Makhlouf
Lassaad Mchiri
Mohamed Rhaima
author_sort Abdellatif Ben Makhlouf
title Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
title_short Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
title_full Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
title_fullStr Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
title_full_unstemmed Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
title_sort ulam-hyers-rassias stability of stochastic functional differential equations via fixed point methods
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description 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.
url http://dx.doi.org/10.1155/2021/5544847
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AT lassaadmchiri ulamhyersrassiasstabilityofstochasticfunctionaldifferentialequationsviafixedpointmethods
AT mohamedrhaima ulamhyersrassiasstabilityofstochasticfunctionaldifferentialequationsviafixedpointmethods
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