Partial approximate controllability results for fractional order stochastic evolution equations using approximation method

The sufficient conditions for existence and partial approximate controllability of fractional stochastic evolution equations with nonlocal initial have been discussed. discussion is based on the variational method, calculus, Schauder's fixed point theorem, analysis. Contrary to results available in literature, non-local function does not need be compact or satisfy Lipschitz's condition. Moreover, pertinent nonlinear uniformly bounded. At end, an application has also demonstrated.