Controllability of Second Order Semilinear Random Differential Equations in Fréchet Spaces

This paper deals with the study of some existence and controllability results for a class of second-order functional differential equations with random effects in Fréchet spaces. The technique used to show the existence of random mild solutions is a generalization of the original Darbo fixed point theorem for Fréchet spaces combined with the notion of measure of noncompactness, and we prove that our problems are controllable.