Abstract This paper deals with the existence of mild solutions for a class of non-local stochastic integro-differential equations driven by a fractional Brownian motion with Hurst parameter H ∈ 1 2 , 1 H\in \left(\tfrac{1}{2},1\right) . Discussions are based on resolvent operators in the sense of Grimmer, stochastic analysis theory and fixed-point criteria. As a final point, an example is given to illustrate the effectiveness of the obtained theory.

中文翻译：

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由分数布朗运动驱动的非局部随机积分微分方程的结果

摘要 本文讨论了一类由具有 Hurst 参数 H ∈ 1 2 , 1 H\in \left(\tfrac{1}{2 },1\right) 。讨论基于 Grimmer 意义上的求解算子、随机分析理论和不动点准则。最后，给出一个例子来说明所获得理论的有效性。