Waves in fractional Zener type viscoelastic media

Details Waves in fractional Zener type viscoelastic media Waves in fractional Zener type viscoelastic media

2011-01-15

arxiv.org/abs/1101.2966v1

J. Math. Anal. Appl., 365(1), 259-268, 2010

Mathematics

Analysis of PDEs

Scientific paper

Classical wave equation is generalized for the case of viscoelastic materials
obeying fractional Zener model instead of Hooke's law. Cauchy problem for such
an equation is studied: existence and uniqueness of the fundamental solution is
proven and solution is calculated.

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