Controllability of fractional stochastic neutral functional differential equations driven by fractional Brownian motion with infinite delay

TL;DR

This paper investigates the controllability of complex fractional stochastic differential equations with infinite delay driven by fractional Brownian motion, using stochastic analysis and fixed-point methods, supported by an illustrative example.

Contribution

It introduces new controllability results for fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion.

Findings

Established controllability criteria using stochastic analysis.

Applied fixed-point strategy to prove main results.

Provided an example demonstrating theoretical effectiveness.

Abstract

In this paper we study the controllability of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.