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In this paper, we are focused upon the global uniqueness results for a stochastic integro-differential equation in Frechet spaces. The main results are proved by using the resolvent operators combined with a nonlinear alternative of Leray-Schauder type in Frechet spaces due to Frigon and Granas. As an application, a controllability result with one parameter is given to illustrate

Global existence and controllability to a stochastic integro-differential equation