Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion

TL;DR

This paper investigates the controllability of complex stochastic integro-differential equations influenced by fractional Brownian motion, establishing conditions for control using resolvent operators and fixed point theory, supported by an illustrative example.

Contribution

It introduces new controllability results for stochastic integro-differential equations driven by fractional Brownian motion, combining resolvent operator theory with fixed point methods.

Findings

Established sufficient controllability conditions.

Applied the theory to a specific example.

Extended controllability analysis to fractional Brownian motion context.

Abstract

This paper focuses on controllability results of stochastic delay partial functional integro-differential equations perturbed by fractional Brownian motion. Sufficient conditions are established using the theory of resolvent operators combined with a fixed point approach for achieving the required result. An example is provided to illustrate the theory.