On generalized fractional vibration equation

DOI10.1016/j.chaos.2016.12.006zbMath1373.74025OpenAlexW2566717461MaRDI QIDQ1674282

Zhibao Zheng, Wei Wang, Hongzhe Dai

Publication date: 2 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.12.006

zbMATH Keywords

vibrationfractional differential equationfractional dynamicsfractional viscoelastic systems

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear constitutive equations for materials with memory (74D10) Functional-differential equations with fractional derivatives (34K37)

Related Items (6)

Numerical solvability of generalized Bagley-Torvik fractional models under Caputo-Fabrizio derivative ⋮ Three classes of fractional oscillators ⋮ Analytical solution of the generalized Bagley-Torvik equation ⋮ Nonlinear system stochastic response determination via fractional equivalent linearization and Karhunen-Loève expansion ⋮ A new fractional moment equation method for the response prediction of nonlinear stochastic systems ⋮ Simulation of multi-dimensional random fields by Karhunen-Loève expansion

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