Existence and Controllability Results for Sobolev-type Fractional Impulsive Stochastic Differential Equations with Infinite Delay

In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition,the conrollability of the system with nonlocal conditions and infinite delay is studied. As example is provided to illustrate the obtained theory. 

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