TY - JOUR AU - Mdimagh, Ridha AU - Jday, Fadhel PY - 2024 TI - Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient JO - AIMS Mathematics SP - 5394 EP - 5406 VL - 9 IS - 3 AB - 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. UR - https://doi.org/10.3934/math.2024260 DO - 10.3934/math.2024260