Typical degradation-shock failure processes have been widely investigated in current researches, and the failures caused by their dependence are described as competitive failure processes. This paper explores competitive failure modes for uncertain random fractional systems involving degradation and shock processes. We develop a wear degradation model explicitly by employing uncertain fractional differential equations in order to demonstrate the potential heredity and memorability of a system. External shocks are then considered to follow a Poisson process. Based on the classification of shock types, three definitions of reliability index for competitive failures are presented. The reliability index formulas are derived for systems with extreme shock, cumulative shock, and $\delta$ shock using chance measures. Finally, we introduce a numerical example where the results of the reliability analysis confirm the validity of proposed reliability evaluation methods.

典型的退化-冲击失效过程在当前的研究中得到了广泛的研究，由它们的依赖性引起的失效被描述为竞争失效过程。本文探讨了涉及退化和冲击过程的不确定随机分数系统的竞争失效模式。我们通过使用不确定的分数微分方程明确地开发了磨损退化模型，以证明系统的潜在遗传性和可记忆性。然后认为外部冲击遵循泊松过程。在冲击类型分类的基础上，给出了竞争失效可靠性指标的三种定义。可靠性指数公式是针对具有极端冲击、累积冲击和$\delta$使用偶然措施进行冲击。最后，我们介绍了一个数值例子，其中可靠性分析的结果证实了所提出的可靠性评估方法的有效性。