Controllability of Sobolev type stochastic differential equations driven by fBm with non-instantaneous impulses
In this paper, we examine the controllability results for a class of multi-valued Sobolev type neutral stochastic differential equations that are steered by fractional Brownian motion BHt with non-instantaneous impulses for H∈(12,1) by assuming the controllability of the linear system. The results are obtained by utilizing the fixed-point theorem for multi-valued operators and stochastic analysis. At last, an example is given to represent the results of the theorem
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