Lyapunov functions for Riemann-Liouville-like fractional difference equations
type: Item
instance of: scholarly article
title: Lyapunov functions for Riemann-Liouville-like fractional difference equations
zbMATH Open document ID: 1426.39010
author: Guocheng Wu
author: D. Baleanu
author: Wei-Hua Luo
published in: Applied Mathematics and Computation
publication date: 2019-04-29T00:00:00Z
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7048871
zbMATH Keywords: asymptotic stability
zbMATH Keywords: fractional difference equations
zbMATH Keywords: Lyapunov direct method
MaRDI profile type: Publication
full work available at URL: j.amc.2017.06.019
OpenAlex ID: W2742441742
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Fractional rheological models for thermomechanical systems. Dissipation and free energies
cites work: Historical survey: the chronicles of fractional calculus
cites work: The role of synaptic transmission in a HIV model with memory
cites work: Stability properties for generalized fractional differential systems
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Lyapunov functions for fractional order systems
cites work: On the Lyapunov theory for fractional order systems
cites work: Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
cites work: Stability of Caputo fractional differential equations by Lyapunov functions.
cites work: Mittag-Leffler stability of fractional-order Hopfield neural networks
cites work: Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations
cites work: Discrete fractional logistic map and its chaos
cites work: Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
cites work: Chaos synchronization of fractional chaotic maps based on the stability condition
cites work: Riesz Riemann–Liouville difference on discrete domains
cites work: Convexity for nabla and delta fractional differences
cites work: Stability of nonlinear h-difference systems with n fractional orders
cites work: The \(\mathcal{Z}\)-transform method and delta type fractional difference operators
cites work: On quasi-periodic properties of fractional sums and fractional differences of periodic functions
cites work: Initial value problems in discrete fractional calculus
cites work: On discrete sequential fractional boundary value problems
cites work: Fixed points and asymptotic stability of nonlinear fractional difference equations
cites work: Modeling with fractional difference equations
cites work: Comparison theorems and asymptotic behavior of solutions of discrete fractional equations
cites work: Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
cites work: Q4914661
cites work: Stability of \(q\)-fractional non-autonomous systems
cites work: On a New Definition of the Fractional Difference
cites work: Discrete fractional calculus with the nabla operator
cites work: Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays
cites work: Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks
cites work: Asymptotical stability of Riemann-Liouville fractional nonlinear systems
cites work: Stability regions for linear fractional differential systems and their discretizations
cites work: Stability and asymptotic properties of a linear fractional difference equation
cites work: Gronwall's inequality on discrete fractional calculus
DOI: 10.1016/J.AMC.2017.06.019
description: scientific article; zbMATH DE number 7048871