Abstract
The article presents the results on existence and uniqueness of mild solutions to some neutral stochastic partial differential equations under Caratheodory-type conditions. The results are obtained by using the method of Picard approximation and generalize the results that were reported by Bao and Hou (Comput Math Appl 59:207–214, 2010). The theory of resolvent operators developed by Grimmer (Trans Am Math Soc 273:333–349, 1982) is employed to demonstrate the existence of mild solutions. A pratical example is provided to illustrate the abstract results of this work.
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