Abstract
This paper deals with the existence of mild solutions for a class of fractional stochastic evolution equations with nonlocal initial conditions and and noncompact semigroups in a real separable Hilbert space. We assume that the linear part generates an equicontinuous -semigroup, and the nonlinear functions satisfy some appropriate growth conditions and noncompactness measure conditions. Our results generalize and improve some previous results on this topic to the case that the corresponding solution semigroup is not compact. An example is also given to demonstrate the applications of our abstract result.
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