Controllability of neutral stochastic functional integro-differential equations driven by fractional brownian motion with Hurst parameter lesser than $ 1/2 $

Abstract

<p style='text-indent:20px;'>This article investigates the controllability for neutral stochastic delay functional integro-differential equations driven by a fractional Brownian motion, with Hurst parameter lesser than <inline-formula><tex-math id="M2">\begin{document}$ 1/2 $\end{document}</tex-math></inline-formula>. We employ the theory of resolvent operators developed by [<xref ref-type="bibr" rid="b10">10</xref>] combined with the Banach fixed point theorem to establish sufficient conditions to prove the desired result.</p>