Linear vibrations of continuum with fractional derivatives

DOI10.1186/1687-2770-2013-104zbMath1297.35269OpenAlexW2136100754WikidataQ59292714 ScholiaQ59292714MaRDI QIDQ2017318

Duygu Dönmez Demir, Berra Gültekin Sinir, Necdet Bıldık

Publication date: 25 June 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-104

zbMATH Keywords

perturbation methodfractional derivativelinear vibrationsdynamic analysis of continuum

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (1)

Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading

Cites Work

• Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme
• Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
• Principal parametric resonances of a general continuous system with cubic nonlinearities
• Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Fractional calculus in the transient analysis of viscoelastically damped structures
• Stability of viscoelastic control systems

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