Explicit solutions and asymptotic behaviors of Caputo discrete fractional-order equations with variable coefficients

DOI10.1016/j.chaos.2021.111490zbMath1498.39008OpenAlexW3205025061MaRDI QIDQ2171442

Feifei Du, Jun-Guo Lu

Publication date: 9 September 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111490

zbMATH Keywords

asymptotic behaviorexplicit solutionvariable coefficientPeano-Baker seriesdiscrete fractional-order equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• Unnamed Item
• Fractional linear systems and electrical circuits
• The Peano-Baker series
• Control game problems for quasilinear systems with Riemann-Liouville fractional derivatives
• Caputo type fractional difference operator and its application on discrete time scales
• Analytic solution for the \(R L\) electric circuit model in fractional order
• Asymptotic behavior of solutions of fractional nabla difference equations
• Finite time stability of fractional delay difference systems: a discrete delayed Mittag-Leffler matrix function approach
• A new collection of real world applications of fractional calculus in science and engineering
• Solution of linear fractional order systems with variable coefficients
• Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions
• Solutions of linear uncertain fractional order neutral differential equations
• Containment control of fractional discrete-time multi-agent systems with nonconvex constraints
• The novel fractional discrete multivariate grey system model and its applications
• Solutions of perturbed linear nabla fractional difference equations
• New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay
• Explicit analytical solutions of incommensurate fractional differential equation systems
• Comparison theorems and asymptotic behavior of solutions of discrete fractional equations
• Transition matrix and generalized matrix exponential via the Peano-Baker series
• Discrete Fractional Calculus
• Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0≪\alpha≪1$ Case
• Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
• The asymptotic behavior of Caputo delta fractional equations
• Two asymptotic results of solutions for nabla fractional (q; h)-difference equations
• Generalized Mittag-Leffler matrix functions in game problems for evolutionary equations of fractional order
• Mittag-Leffler stability of nabla discrete fractional-order dynamic systems

This page was built for publication: Explicit solutions and asymptotic behaviors of Caputo discrete fractional-order equations with variable coefficients