Waves in fractional Zener type viscoelastic media

Published 15 Jan 2011 in math.AP | (1101.2966v1)

Abstract: 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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