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Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse |
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| Institution: | 1. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, Jiangsu, PR China;2. Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey;3. Institute of Space Sciences, Magurele–Bucharest, Romania;4. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan Province, PR China |
| 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. |
| Keywords: | Impulsive fractional difference equations Comparison principle Mittag-Leffler stability Discrete-time control |
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