“…We notice that among the previous researches, most of researchers focus on the case that the differential operators in the main parts are independent of time t, which means that the problems under consideration are autonomous. However, when treating some parabolic evolution equations, it is usually assumed that the partial differential operators depend on time t on account of this class of operators appears frequently in the applications, for the details please see [1], [2], [3], [10], [11], [12], [20], [24] and [30]. Therefore, it is interesting and significant to investigate stochastic non-autonomous evolution equations with nonlocal initial conditions, i.e., the differential operators in the main parts of the considered problems are dependent of time t. Motivated by the above mentioned aspects, in this paper, we will investigate the existence of mild solutions for the non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions (1).…”