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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, 550025, Guizhou, People’s Republic of China

    Guanli Xiao & JinRong Wang

  2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    D. O’Regan

Authors
  1. Guanli Xiao
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  2. JinRong Wang
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  3. D. O’Regan
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Correspondence to JinRong Wang.

Additional information

This work is partially supported by the National Natural Science Foundation of China (12161015), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), the Major Research Project of Innovative Group in Guizhou Education Department ([2018]012), and Guizhou Data Driven Modeling Learning and Optimization Innovation Team ([2020]5016)

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Xiao, G., Wang, J. & O’Regan, D. Existence and Stability of Solutions to Neutral Conformable Stochastic Functional Differential Equations. Qual. Theory Dyn. Syst. 21, 7 (2022). https://doi.org/10.1007/s12346-021-00538-x

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