In this paper, we proved Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of a class of fractional linear differential equation with the Prabhakar derivative. By using the Laplace trasform, we show that the introduced fractional linear differential equation with the Prabhakar fractional derivative is Mittag-Leffler-Hyers-Ulam stable.
