Abstract The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation with an arbitrary second order elliptic differential operator. We prove that the additional information about the solution at a fixed time instant at a monitoring location, as “the observation data”, identifies uniquely the order of the fractional derivative.

中文翻译：

---

确定子扩散方程的分数阶导数

摘要 在应用分数建模中，方程的正确阶的识别起着重要的作用。在本文中，我们考虑一个逆问题，用于确定具有任意二阶椭圆微分算子的子扩散方程中的时间分数导数的阶。我们证明了在监控位置的固定时刻关于解的附加信息，作为“观察数据”，唯一地标识了分数导数的阶。