| 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 |
Show full item record
SCOPUSTM
Citations
38
checked on Dec 26, 2024
Page view(s)
18
checked on Dec 26, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.