Finite time stability of fractional delay difference systems: A discrete delayed Mittag-Leffler matrix function approach
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DOI: 10.1016/j.chaos.2020.110430
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References listed on IDEAS
- Abdeljawad, Thabet, 2019. "Fractional difference operators with discrete generalized Mittag–Leffler kernels," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 315-324.
- Li, Mengmeng & Wang, JinRong, 2018. "Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 254-265.
- Jan Čermák & Tomáš Kisela & Luděk Nechvátal, 2011. "Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-21, June.
- Wu, Guo-Cheng & Baleanu, Dumitru & Luo, Wei-Hua, 2017. "Lyapunov functions for Riemann–Liouville-like fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 228-236.
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Cited by:
- Chen, Yuting & Li, Xiaoyan & Liu, Song, 2021. "Finite-time stability of ABC type fractional delay difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
- Mouataz Billah Mesmouli & Loredana Florentina Iambor & Amir Abdel Menaem & Taher S. Hassan, 2024. "Existence Results and Finite-Time Stability of a Fractional ( p , q )-Integro-Difference System," Mathematics, MDPI, vol. 12(9), pages 1-12, May.
- Ivan Pavlenko & Marek Ochowiak & Praveen Agarwal & Radosław Olszewski & Bernard Michałek & Andżelika Krupińska, 2021. "Improvement of Mathematical Model for Sedimentation Process," Energies, MDPI, vol. 14(15), pages 1-12, July.
- Du, Feifei & Lu, Jun-Guo, 2021. "Explicit solutions and asymptotic behaviors of Caputo discrete fractional-order equations with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
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Keywords
Finite time stability; Fractional; Discrete; Delay; Mittag-Leffler matrix function;All these keywords.
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