Lyapunov Functions for Riemann-Liouville Fractional Difference Equations
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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.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Asymptotic Stability, Fractional Difference Equations, Lyaupunov Direct Method, asymptotic stability, fractional difference equations, Difference equations, scaling (\(q\)-differences), Fractional ordinary differential equations, Lyapunov direct method
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
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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72
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314
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228
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236
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