| Authors: | Konjik, Sanja Oparnica, Ljubica Zorica, Dušan |
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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