Analysis of controllability in Caputo–Hadamard stochastic fractional differential equations with fractional Brownian motion

This paper is devoted to describing the complex system, mainly focused on the Caputo–Hadamard stochastic fractional differential equation with fractional Brownian motion—a controllability analysis. Then, an existence and uniqueness of the solution is proved based on the Banach contraction principle. By employing Schaefer’s fixed point theorem, controllability of the system is studied. Finally numerical examples are presented to illustrate the theory results.