In this work, we deal with the existence, uniqueness and controllability outcomes for stochastic partial integro-differential equations with nonlocal conditions. Our analysis uses Kuratowski's measure of noncompactness, generalized Darbo's fixed point Theorem, Mönch fixed point Theorem and Grimmer's resolvent operator theory. Some appropriate conditions for existence, uniqueness and controllability are obtained. Some examples are provided for illustration.

中文翻译：

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非局部随机积分微分方程的存在性和可控制性结果

在这项工作中，我们处理具有非局部条件的随机局部积分-微分方程的存在性，唯一性和可控制性。我们的分析使用了Kuratowski的非紧致性度量，广义的Darbo不动点定理，Mönch不动点定理和Grimmer的分解算子理论。获得了一些存在，唯一性和可控性的适当条件。提供一些示例用于说明。