Uniqueness in determining the orders of time and spatial fractional derivatives
Analysis of PDEs
2020-06-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2006.15046,
title = {Uniqueness in determining the orders of time and spatial fractional derivatives},
author = {Masahiro Yamamoto},
journal= {arXiv preprint arXiv:2006.15046},
year = {2020}
}