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

• Xiao, Guanli ^[1] ; Wang, JinRong ^[1] ; O Regan, D. ^[2]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] National University of Ireland

     National University of Ireland

     Irlanda

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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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