Exponential stability for nonautonomous stochastic integrodifferential equations driven by Q -Wiener process and Q -Rosenblatt process

This study explores a class of nonautonomous impulsive neutral stochastic integrodifferential equations driven by Q-Wiener process and Q-Rosenblatt process. We present novel and sufficient conditions for the existence, uniqueness, and exponential stability of mild solutions at the pth moment. We produce the required results by integrating the theories of stochastic analysis, impulsive inequality, Grimmer’s theory of the resolvent operator, and the fixed point theorem. A final example further demonstrates the obtained outcomes.