Controllability of neutral stochastic functional integro-differential equations driven by fractional brownian motion with Hurst parameter lesser than <tex-math id="M1">$ 1/2 $</tex-math>

This article investigates the controllability for neutral stochastic delay functional integro-differential equations driven by a fractional Brownian motion, with Hurst parameter lesser than <tex-math id="M2">{document}$ 1/2 ${document}</tex-math>. We employ the theory of resolvent operators developed by [10] combined with the Banach fixed point theorem to establish sufficient conditions to prove the desired result.