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Volume 14, Number 5, 2024, Pages -                                                                DOI:10.11948/JAAC-2023-0238
Solvability and Optimal Controls of Fractional Impulsive Stochastic Evolution Equations with Nonlocal Conditions
Yonghong Ding,Jing Niu
Keywords:Nonlocal problem  Impulsive  Optimal control  Stochastic evolution equations
Abstract:
      This paper deals with the solvability and optimal controls of a class of impulsive fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. Firstly, the existence and uniqueness of mild solutions for the considered system are investigated. Then, we derive the existence conditions of optimal pairs to the control systems. In the end, an example is presented to illustrate the effectiveness of our abstract results.
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