The well-posedness, regularity and general stability of solutions to a two-dimensional stochastic non-local delay diffusion lattice system with a time Caputo fractional operator of order $\alpha 𝜀\mathrm{\text{(}}1/2,1)$ are investigated in $L^p$ spaces for $p\ge 2$. First, the global existence and uniqueness of solutions are established by using a temporally weighted norm, the Burkholder–Davis–Gundy inequality and the Banach fixed point theorem. Then the continuous dependence of solutions on initial values is established in the sense of $p$th moment. In particular, the $p$th moment Hölder regularities in time and $p$th moment general stability, including polynomial and logarithmic stability of solutions, are obtained.

具有阶时间 Caputo 分数阶算子的二维随机非局部延迟扩散格系统解的适定性、正则性和一般稳定性$\alpha 𝜀\mathrm{\text{(}}\mathrm{1个}/\mathrm{2个},\mathrm{1个})$被调查${\mathrm{大号}}^p$的空间$p\ge \mathrm{2个}$. 首先，解决方案的全局存在性和唯一性是通过使用时间加权范数、Burkholder-Davis-Gundy 不等式和 Banach 不动点定理来确定的。然后在以下意义上建立解决方案对初始值的连续依赖性$p$第一刻。特别是，$p$th moment Hölder 时间规律和$p$得到了解的多项式和对数稳定性的一般稳定性。