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Existence and Stability of Solutions to Neutral Conformable Stochastic Functional Differential Equations

Authors :
Guanli Xiao
Donal O'Regan
JinRong Wang
Source :
Qualitative Theory of Dynamical Systems. 21
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

This paper studies conformable stochastic functional differential equations of neutral type. Firstly, the existence and uniqueness theorem of a solution is established. Secondly, the moment estimation and exponential stability results are given. Thirdly, the Ulam type stability in mean square is discussed. Finally, two examples are given to illustrate our results.

Details

ISSN :
16623592 and 15755460
Volume :
21
Database :
OpenAIRE
Journal :
Qualitative Theory of Dynamical Systems
Accession number :
edsair.doi...........b9f18d07ffe2fd2c81f3042754f4e6e9