A study on controllability to stochastic neutral functional differential equations with delay and fractional Brownian motion
DOI:
https://doi.org/10.12775/TMNA.2025.062Keywords
Non-autonomous stochastic equation, fractional Brownian motion, controllability results, measure of non-compactness, Mönch's fixed point theoremAbstract
This paper is devoted to examine the controllability of a class of non-autonomous stochastic neutral functional differential equations with state-dependent delay and fractional Brownian motion. First, by employing operator theory and estimates on the nonlinear terms, we establish the existence of mild solutions for the considered system. Then, with the aid of Mönch's fixed point theorem and the properties of the measure of non-compactness, we derive sufficient conditions for the controllability of the system. Finally, an illustrative example is provided to demonstrate the applicability of the theoretical results. These findings offer a theoretical foundation for the analysis and control of complex systems in related fields.References
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