A stability result for the determination of order in time-fractional diffusion equations

This paper deals with an inverse problem of the determination of the fractional order in time-fractional diffusion equations from one interior point observation. We give a representation of the solution via the Mittag-Leffler function and eigenfunction expansion, from which the Lipschitz stability of the fractional order with respect to the measured data at the interior point is established. © 2019 Walter de Gruyter GmbH, Berlin/Boston 2019.