|Title:||Waves in fractional Zener type viscoelastic media||Journal:||Journal of Mathematical Analysis and Applications||Volume:||365||Issue:||1||First page:||259||Last page:||268||Issue Date:||1-May-2010||Rank:||M21||ISSN:||0022-247X||DOI:||10.1016/j.jmaa.2009.10.043||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.
|Keywords:||Fractional derivatives | Fractional Zener model | Fundamental solution | Laplace and Fourier transforms||Publisher:||Elsevier||Project:||Serbian Ministry of Science, Grants 144016 and 144019
Austrian Science Fund, START-project Y-237
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