Stochastic response of dynamical systems with fractional derivative term under wide-band excitation
DOI10.1155/2016/9638523zbMath1400.60088OpenAlexW2549426722WikidataQ59141314 ScholiaQ59141314MaRDI QIDQ1793848
Publication date: 12 October 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/9638523
Fractional processes, including fractional Brownian motion (60G22) Random operators and equations (aspects of stochastic analysis) (60H25) Ordinary differential equations and systems with randomness (34F05) Relaxation oscillations for ordinary differential equations (34C26) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian white noise
- Oscillatory region and asymptotic solution of fractional van der Pol oscillator via residue harmonic balance technique
- Handbook of stochastic methods for physics, chemistry and the natural sciences
- A method for analysis of non-linear vibrations caused by modulated random excitation
- Extension of eigenfunction-expansion solutions of a Fokker-Planck equation. II. Second order system
- Principal resonance responses of SDOF systems with small fractional derivative damping under narrow-band random parametric excitation
- Analysis of a Nonlinear First-Order System with a White Noise Input
- Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators
- Eigenfunction expansions for randomly excited non-linear systems
This page was built for publication: Stochastic response of dynamical systems with fractional derivative term under wide-band excitation