Deriving fractional acoustic wave equations from mechanical and thermal constitutive equations

DOI10.1016/j.camwa.2013.02.024zbMath1381.35219OpenAlexW2077227597MaRDI QIDQ316073

Fabrice Prieur, Sven Peter Näsholm, Sverre Holm, Ralph Sinkus

Publication date: 26 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.02.024

zbMATH Keywords

attenuationwave equationsfrequency dispersion

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

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Cites Work

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• Coupled systems of fractional equations related to sound propagation: Analysis and discussion
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Dispersion relations for linear wave propagation in homogeneous and inhomogeneous media
• On the Fractional Calculus Model of Viscoelastic Behavior

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