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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Hlavní autoři:	Xiaoyan Li, Song Liu, Wei Jiang
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	SpringerOpen 2018-03-01
Edice:	Advances in Difference Equations
Témata:	q-fractional calculus q-Mittag-Leffler functions q-Mittag-Leffler stability Lyapunov method
On-line přístup:	http://link.springer.com/article/10.1186/s13662-018-1502-5
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