Lyapunov Functions for Riemann-Liouville Fractional Difference Equations
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Date
2017
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Elsevier Science inc
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Abstract
Discrete memory effects are introduced by fractional difference operators. Asymptotic stabilities of nonlinear fractional difference equations are investigated in this paper. A linear scalar fractional difference equality is utilized. Lyapunov second direct method is proposed for nonlinear discrete fractional systems. Asymptotic stability conditions are provided and some examples are given. (C) 2017 Elsevier Inc. All rights reserved.
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Wu, Guo-Cheng/0000-0002-1946-6770
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Keywords
Asymptotic Stability, Fractional Difference Equations, Lyaupunov Direct Method
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Citation
Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua, "Lyapunov functions for Riemann-Liouville-like fractional difference equations", Applied Mathematics And Computation, Vol.314, pp.228-236, (2017).
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71
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Volume
314
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Start Page
228
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236
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Scopus : 158
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2
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