A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses

In this work, we offer a set of appropriate conditions for the approximate controllability of second‐order impulsive neutral stochastic integro‐differential evolution inclusions with infinite delay. We validate the major conclusions using concepts from the cosine function, sine function, and the fixed point method. The discussion then shifts to nonlocal second‐order stochastic integro‐differential systems. Finally, we give a theoretical application to help our conversation be more successful.