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https://open.uns.ac.rs/handle/123456789/31239| Title: | Space-time fractional Zener wave equation | Authors: | Atanacković Teodor Janev Marko Oparnica Ljubica Pilipović Stevan Zorica Dušan |
Issue Date: | 2015 | Journal: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | Abstract: | © 2014 The Author(s) Published by the Royal Society. All rights reserved. The space-time fractional Zener wave equation, describing viscoelastic materials obeying the timefractional Zener model and the space-fractional strain measure, is derived and analysed. This model includes waves with finite speed, as well as nonpropagating disturbances. The existence and the uniqueness of the solution to the generalized Cauchy problem are proved. Special cases are investigated and numerical examples are presented. | URI: | https://open.uns.ac.rs/handle/123456789/31239 | ISSN: | 1364-5021 | DOI: | 10.1098/rspa.2014.0614 |
| Appears in Collections: | PEF Publikacije/Publications |
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