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

Guanli Xiao; Jin Rong Wang; D. O’Regan

doi:10.1007/s12346-021-00538-x

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

Guanli Xiao, Jin Rong Wang, D. O’Regan

Mathematics

Guizhou University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

12 Citations (Scopus)

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.

Original language	English
Article number	7
Journal	Qualitative Theory of Dynamical Systems
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s12346-021-00538-x
Publication status	Published - Mar 2022

Keywords

Conformable
Exponential stability
Neutral type stochastic functional differential equations
Ulam’s type stability

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10.1007/s12346-021-00538-x

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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.",

keywords = "Conformable, Exponential stability, Neutral type stochastic functional differential equations, Ulam{\textquoteright}s type stability",

author = "Guanli Xiao and Wang, \{Jin Rong\} and D. O{\textquoteright}Regan",

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AU - Xiao, Guanli

AU - Wang, Jin Rong

AU - O’Regan, D.

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AB - 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.

KW - Conformable

KW - Exponential stability

KW - Neutral type stochastic functional differential equations

KW - Ulam’s type stability

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

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Keywords

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