<p>The goal of this research is to investigate the time-optimal control results for Hilfer fractional stochastic hemivariational dynamics driven by mixed fractional Brownian motion in Hilbert spaces. By employing advanced mathematical tools, including stochastic analysis, fractional differential systems, multivalued analysis, fixed-point techniques, and the properties of fractional Brownian motion, we first establish the existence results of the proposed system. Subsequently, sufficient conditions are derived to discuss the time-optimal control results. The major advantage of these findings lies in their ability to model complex dynamical systems with memory effects, uncertainty, and nonsmooth behaviors more accurately than classical integer-order models. Moreover, the incorporation of mixed fractional Brownian motion enhances the applicability of the model to real-world phenomena exhibiting long-range dependence and stochastic perturbations. This paper presents two illustrative examples, the first one gives theoretical application work whereas the second one provides a filter design for a fractional partial control system.</p>