论文标题
确定子扩散方程的分数导数顺序
Determination of the order of fractional derivative for subdiffusion equation
论文作者
论文摘要
在应用分数建模中方程正确顺序的识别起着重要作用。在本文中，我们考虑了一个与任意二阶椭圆差异操作员的子扩散方程中时间分数导数顺序的逆问题。我们证明，在监视位置的固定时间瞬间，有关解决方案的其他信息，即“观察数据”，它独特地标识了分数导数的顺序。
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.
