Mittag-Leffler–Ulam stabilities of fractional evolution equations

In this paper, we present and discuss four types of Mittag-Leffler–Ulam stability: Mittag-Leffler–Ulam–Hyers stability, generalized Mittag-Leffler–Ulam–Hyers stability, Mittag-Leffler–Ulam–Hyers–Rassias stability and generalized Mittag-Leffler–Ulam–Hyers–Rassias stability for a fractional evolution equation in Banach spaces.