Novel Mittag-Leffler Stability of Linear Fractional Delay Difference Equations With Impulse
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Date
2018
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Pergamon-elsevier Science Ltd
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Green Open Access
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Abstract
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. (C) 2018 Elsevier Ltd. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770; Huang, Lan-Lan/0000-0002-6375-9183
Keywords
Impulsive Fractional Difference Equations, Comparison Principle, Mittag-Leffler Stability, Discrete-Time Control, Linear difference equations, Stability theory for difference equations, impulsive fractional difference equation, comparison principle, Mittag-Leffler stability, Applications of difference equations, discrete-time control, Functional-differential equations with fractional derivatives
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Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Wu, Guo-Cheng; Baleanu, Dumitru; Huang, Lan-Lan, "Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse", Applied Mathematics Letters, Vol. 82, pp. 71-78, (2018)
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Q1
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OpenCitations Citation Count
60
Source
Applied Mathematics Letters
Volume
82
Issue
Start Page
71
End Page
78
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Scopus : 67
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