Abstract
This paper adopts a new terminology, “delta q-Mittag-Leffler stability”, for studying the stability of nonlinear q-fractional dynamical systems on the time scale. In fact, the idea of delta q-Mittag-Leffler stability is inspired by the idea of Mittag-Leffler stability, which is designed to investigate the stability of fractional dynamical systems. The sufficient conditions for delta q-Mittag-Leffler stability of considered dynamical systems with Caputo delta q-derivatives have been introduced.
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