Approximate controllability for hybrid fractional stochastic differential equations with impulsive conditions

This paper investigates a dynamical control system described by nonlinear fractional stochastic differential equations. This study focuses on the approximate controllability and the existence of mild solutions for hybrid fractional stochastic differential equations with impulsive conditions. By employing the theory of sectorial operators, fixed point theorems, stochastic analysis techniques, a new set of sufficient conditions for the approximate controllability of the system is derived. To demonstrate the applicability of theoretical results, an example is provided at the end of this paper.