论文标题
确定时间和空间分数衍生物的唯一性
Uniqueness in determining the orders of time and spatial fractional derivatives
论文作者
论文摘要
我们证明了通过点数据在扩散方程中确定分数时间衍生物和空间衍生物的两个顺序的唯一性。证明依赖于特征功能的扩展和Mittag-Leffler函数的渐近学。
We prove the uniqueness in determining both orders of fractional time derivatives and spatial derivatives in diffusion equations by pointwise data. The proof relies on the eigenfunction expansion and the asymptotics of the Mittag-Leffler function.