Waves in fractional Zener type viscoelastic media
Analysis of PDEs
2016-08-14 v1
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.
Cite
@article{arxiv.1101.2966,
title = {Waves in fractional Zener type viscoelastic media},
author = {Sanja Konjik and Ljubica Oparnica and Dušan Zorica},
journal= {arXiv preprint arXiv:1101.2966},
year = {2016}
}