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

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