In this paper, we present the construction and analysis of a fractional Zener model for modeling waves propagation in dissipative media, which leads to a more realistic mathematical model. We achieve its mathematical analysis: existence and uniqueness of solution and energy decay. We extend this result for a generalized fractional Zener model. A prior estimation of the solution is provided.

中文翻译：

---

时空分数齐纳模型解的存在唯一性

在本文中，我们介绍了分数齐纳模型的构建和分析，该模型用于模拟在耗散介质中传播的波，从而得到了更现实的数学模型。我们实现了其数学分析：解和能量衰减的存在和唯一性。我们将此结果扩展为广义分数齐纳模型。提供了该解决方案的先前估计。