Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods. (21st April 2021)

• Record Type: Journal Article
• Authors: Ben Makhlouf, Abdellatif; Mchiri, Lassaad; Rhaima, Mohamed
• Other Names: Mitrovic Zoran Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-21
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5544847
• Languages: English
• ISSNs: 2314-8896

Abstract

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.