Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse

In this letter we propose a class of linear fractional difference equations with discrete-time delay and impulse effects. The exact solutions are obtained by use of a discrete Mittag-Leffler function with delay and impulse. Besides, we provide comparison principle, stability results and numerical il...

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Bibliographic Details
Published in:Applied mathematics letters 2018-08, Vol.82, p.71-78
Main Authors: Wu, Guo-Cheng, Baleanu, Dumitru, Huang, Lan-Lan
Format: Article
Language:English
Subjects:
Comparison principle
Discrete-time control
Impulsive fractional difference equations
Mittag-Leffler stability
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Summary:In this letter we propose a class of linear fractional difference equations with discrete-time delay and impulse effects. The exact solutions are obtained by use of a discrete Mittag-Leffler function with delay and impulse. Besides, we provide comparison principle, stability results and numerical illustration.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2018.02.004