Non-stationary response statistics of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation

DOI10.1007/s11071-019-05124-0zbMath1430.35228OpenAlexW2958845028WikidataQ127456622 ScholiaQ127456622MaRDI QIDQ2297007

Yanyan Li

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05124-0

zbMATH Keywords

nonlinear systemstochastic dynamicsfractional derivativeevolutionary power spectrumnon-stationary stochastic process

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (4)

Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation ⋮ Implicit analytic solutions for a nonlinear fractional partial differential beam equation ⋮ An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay ⋮ Nonstationary response statistics of fractional oscillators to evolutionary stochastic excitation

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• Oscillator Response to Nonstationary Excitation
• Advances in Fractional Calculus

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