Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations
type: Item
instance of: scholarly article
title: Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations
zbMATH Open document ID: 1374.34306
author: D. Baleanu
author: Guocheng Wu
author: Sheng-Da Zeng
published in: Chaos, Solitons and Fractals
publication date: 2017-11-13T00:00:00Z
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K23
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 6806318
zbMATH Keywords: generalized Caputo derivative
zbMATH Keywords: Lyapunov direct method
zbMATH Keywords: asymptotic stability
zbMATH Keywords: chaos
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: numerical solutions
MaRDI profile type: Publication
full work available at URL: j.chaos.2017.02.007
OpenAlex ID: W2596712155
cites work: Q4250595
cites work: Q3006513
cites work: Fractional Calculus
cites work: Fractional differentiation matrices with applications
cites work: Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Time fractional diffusion: A discrete random walk approach
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: Robust controllability of interval fractional order linear time invariant systems
cites work: Fractional-order systems and controls. Fundamentals and applications
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: Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators
cites work: Existence and uniqueness for fractional neutral differential equations with infinite delay
cites work: A survey on impulsive fractional differential equations
cites work: Anisotropic fractional diffusion tensor imaging
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Anomalous diffusion modeling by fractal and fractional derivatives
cites work: Numerical methods for solving the multi-term time-fractional wave-diffusion equation
cites work: A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
cites work: Discrete fractional logistic map and its chaos
cites work: Chaos synchronization of fractional chaotic maps based on the stability condition
cites work: Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
cites work: Riesz Riemann–Liouville difference on discrete domains
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
cites work: Chaos in Chen's system with a fractional order
cites work: Fractional ordered Liu system with time-delay
cites work: Chaos in the fractional-order complex Lorenz system and its synchronization
cites work: Chaos detection and parameter identification in fractional-order chaotic systems with delay
cites work: A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
cites work: New approach to a generalized fractional integral
cites work: A New Approach to Generalized Fractional Derivatives
cites work: Properties of the Katugampola fractional derivative with potential application in quantum mechanics
cites work: An approximation formula for the Katugampola integral
cites work: Solving frontier problems of physics: the decomposition method
cites work: Recurrence triangle for Adomian polynomials
cites work: An efficient algorithm for the multivariable Adomian polynomials
cites work: Convenient analytic recurrence algorithms for the Adomian polynomials
cites work: New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods
cites work: Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps
cites work: On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
DOI: 10.1016/J.CHAOS.2017.02.007
Recommended article: On the stability of fractional differential equations involving generalized Caputo fractional derivative
Recommended article: Q5022372
Recommended article: Asymptotical stability of nonlinear fractional differential system with Caputo derivative
Recommended article: Stability of nonlinear Caputo fractional differential equations
Recommended article: Stability analysis of Caputo fractional-order nonlinear systems revisited
Recommended article: Stability analysis for generalized fractional differential systems and applications
Recommended article: On class of fractional-order chaotic or hyperchaotic systems in the context of the Caputo fractional-order derivative
Recommended article: Stability for Caputo fractional differential systems
Recommended article: Analysis of fractional‐order nonlinear dynamic systems under Caputo differential operator
Recommended article: ADVANCES IN ANALYSIS OF CAPUTO FRACTIONAL-ORDER NONAUTONOMOUS SYSTEMS: FROM STABILITY TO GLOBAL UNIFORM ASYMPTOTIC STABILITY
description: scientific article; zbMATH DE number 6806318