q-Mittag-Leffler stability and Lyapunov direct method for differential systems with q-fractional order

Abstract In this paper, using the theory of q-fractional calculus, we deal with the q-Mittag-Leffler stability of q-fractional differential systems, and based on it, we analyze the direct Lyapunov method of q-fractional differential systems. Several sufficient criteria are established to guarantee t...

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Bibliographic Details
Main Authors: Xiaoyan Li, Song Liu, Wei Jiang
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1502-5