Simultaneous uniqueness for an inverse problem in a time-fractional diffusion equation

Abstract

This article investigates the uniqueness of identifying the fractional-order, potential, and Robin coefficient simultaneously in one-dimensional time-fractional diffusion equation with non-homogeneous boundary condition. By using one boundary measurement, we prove that the fractional-order, potential on the entire interval, and Robin coefficient are determined simultaneously from asymptotic properties of the Mittag-Leffler function and the Marchenko’s uniqueness theorem.