This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for \(\alpha \in (\frac{1}{2},1)\). Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

中文翻译：

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时滞线性随机分数阶系统的有限时间稳定性

本文重点研究了具有\(\alpha \in (\frac{1}{2},1)\)时滞的线性随机分数阶系统的有限时间稳定性。在广义Gronwall不等式和随机分析技术下，研究了具有时滞的线性随机分数阶系统解的有限时间稳定性。我们给出了两个说明性的例子来展示主要结果的兴趣。