@article{Mdimagh2024, 
author = {Ridha Mdimagh and Fadhel Jday},
title = {Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {5394-5406},
keywords = {fractional diffusion equation, diffusion potential, Dirichlet-to-Neumann (DN) map, Hölder-type stability, spectral decomposition},
url = {https://www.sciopen.com/article/10.3934/math.2024260},
doi = {10.3934/math.2024260},
abstract = {This paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map for the fractional diffusion equation with a reaction coefficient    q. The main result provided a Hölder-type stability estimate for the map, which was formulated in terms of the Dirichlet eigenvalues and normal derivatives of eigenfunctions of the operator        A    q    :=  −  Δ  +  q.}
}