This paper is concerned with the asymptotic behavior of the solutions to a class of non-autonomous nonlocal fractional stochastic parabolic equations with delay defined on bounded domain. We first prove the existence of a continuous non-autonomous random dynamical system for the equations as well as the uniform estimates of solutions with respect to the delay time and noise intensity. We then show pullback asymptotical compactness of solutions as well as the existence and uniqueness of tempered random attractors by utilizing the Arzela-Ascoli theorem and the uniform estimates of solutions in fractional Sobolev space $ H^\alpha(\mathbb{R}^n) $ with $ \alpha\in (0,1) $ as well as their time derivatives in $ L^2(\mathbb{R}^n) $. Finally, we establish the upper semi-continuity of the random attractors when noise intensity and time delay approaches zero, respectively.

中文翻译：

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具有时滞的非自治分数阶随机抛物方程的吸引子的上半连续性

本文关注一类在有界域上定义的具有时滞的非自治非局部分数阶随机抛物方程的解的渐近性质。我们首先证明了方程的连续非自治随机动力系统的存在以及关于延迟时间和噪声强度的解的统一估计。然后，我们利用Arzela-Ascoli定理和分数Sobolev空间中$ H ^ \ alpha（\ mathbb {R} ^ n）的解的均匀估计，证明了解的回拉渐近紧致性以及回火随机吸引子的存在和唯一性$与$ \ alpha \ in（0,1）$以及$ L ^ 2（\ mathbb {R} ^ n）$中的时间导数。最后，