Abstract

ABSTRACTIn this manuscript, we investigate the approximate controllability of a class of fractional stochastic differential equations driven by mixed fractional Brownian motion in Hilbert space with Hurst parameter . The main results are obtained by employing fractional calculus, analytic resolvent operators and with the help of Schaefer's fixed-point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, in order to validate the obtained theoretical results, an illustrative example is provided.

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