Mittag-Leffler-Ulam stabilities of fractional evolution equations. (English) Zbl 1246.34012

Wang, Jinrong; Zhou, Yong

Appl. Math. Lett. 25, No. 4, 723-728 (2012).

Summary: 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.

MSC:

34A08	Fractional ordinary differential equations
34G20	Nonlinear differential equations in abstract spaces
34D10	Perturbations of ordinary differential equations

Keywords:

fractional evolution equations; Mittag-Leffler function; Ulam-Hyers stability; Ulam-Hyers-Rassias stability

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