Approximate controllability of second-order damped McKean–Vlasov stochastic evolution equations

In this paper, sufficient conditions for the approximate controllability of a class of second-order nonlinear stochastic functional differential equations of McKean–Vlasov type are derived. The nonlinearities at a given time tt considered depend not only on the state of the solution at time tt, but also on the corresponding probability distribution at time tt. An example is given to illustrate the theory.