A detailed analysis for the fundamental solution of fractional vibration equation

DOI10.1515/math-2015-0077zbMath1499.74050OpenAlexW2218304445MaRDI QIDQ317755

Li-Li Liu, Jun-Sheng Duan

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0077

zbMATH Keywords

Laplace transformfractional differential equationsfractional derivatives and integralsfractional vibration

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fractional derivatives and integrals (26A33) Laplace transform (44A10) Applications of fractional calculus in solid mechanics (74S40)

Related Items (5)

Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping ⋮ Stability analysis for a single degree of freedom fractional oscillator ⋮ Exact solutions of fractional order oscillation equation with two fractional derivative terms ⋮ Long time behavior for a fractional Picard problem in a Hilbert space ⋮ Stokes' second problem of viscoelastic fluids with constitutive equation of distributed-order derivative

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