Stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian white noise
type: Item
instance of: scholarly article
title: Stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian white noise
zbMATH Open document ID: 1353.34102
author: Yongge Yang
author: X. D. Gu
author: Yahui Sun
author: Wei Xu
published in: Chaos, Solitons and Fractals
publication date: 2017-01-11T00:00:00Z
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6673416
zbMATH Keywords: self-excited system
zbMATH Keywords: Caputo-type fractional derivative
zbMATH Keywords: fractional Van der Pol oscillator
zbMATH Keywords: fractional Rayleigh oscillator
MaRDI profile type: Publication
full work available at URL: j.chaos.2015.05.029
OpenAlex ID: W762656843
cites work: Fractional calculus - A different approach to the analysis of viscoelastically damped structures
cites work: A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
cites work: Fractional calculus in the transient analysis of viscoelastically damped structures
cites work: And I say to myself: “What a fractional world!”
cites work: Fractional Calculus: Application in Modeling and Control
cites work: Fractional dynamics in DNA
cites work: Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
cites work: Q4250595
cites work: Short memory principle and a predictor-corrector approach for fractional differential equations
cites work: Rhapsody in fractional
cites work: Q3141902
cites work: On the Evaluation of Certain Sums Involving the Natural Numbers Raised to an Arbitrary Power
cites work: Some pioneers of the applications of fractional calculus
cites work: Recent history of fractional calculus
cites work: Chaos in Chen's system with a fractional order
cites work: Fractional-order dynamical models of love
cites work: Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and white noise parametric excitations
cites work: Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping
cites work: On the stochastic response of a fractionally-damped Duffing oscillator
cites work: Responses of Duffing oscillator with fractional damping and random phase
cites work: Principal resonance responses of SDOF systems with small fractional derivative damping under narrow-band random parametric excitation
cites work: Primary resonance of Duffing oscillator with fractional-order derivative
cites work: Analysis on limit cycle of fractional-order van der Pol oscillator
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
DOI: 10.1016/J.CHAOS.2015.05.029
description: scientific article; zbMATH DE number 6673416