### Controllability of Sobolev type stochastic differential equations driven by fBm with non-instantaneous impulses

Document Type : Research Paper

Authors

Department of Mathematics, UCEK, JNTUK, Kakinada, A.P., India

Abstract

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 $B_t^H$ with non-instantaneous impulses for $H \in (\frac{1}{2},1)$ 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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