Controllability of McKean-Vlasov Stochastic Integrodifferential Evolution Equation in Hilbert Spaces

Sufficient conditions for controllability of McKean-Vlasov stochastic integrodifferential evolution equation in Hilbert spaces are obtained by using Banach fixed point analysis approach. This paper is motivated primarily by the work of Ahmed and Ding (Stochastic Processes Appl. 1995; 60:65-85), which is extended to a more general class of McKean-Vlasov stochastic integrodifferential equation in Hilbert space for establishing controllability result.