Abstract

ABSTRACT In this paper, we are dealing with the null controllability of fractional stochastic differential system with fractional Brownian motion. The null controllability for Sobolev-type Hilfer fractional stochastic differential system with fractional Brownian motion of Clarke's subdifferential type is studied. The sufficient conditions for null controllability of fractional stochastic differential system with fractional Brownian motion and control on the boundary are established. Finally, an example is given to illustrate the obtained results.

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