| Authors: | Atanacković, Teodor Janev, Marko Oparnica, Ljubica Pilipović, Stevan Zorica, Dušan |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Space-time fractional Zener wave equation | Journal: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | Volume: | 471 | Issue: | 2174 | Issue Date: | 8-Feb-2015 | Rank: | M21 | ISSN: | 1364-5021 | DOI: | 10.1098/rspa.2014.0614 | Abstract: | 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. |
Keywords: | Cauchy problem | Fractional strain measure | Fractional Zener model | Generalized solution | Laplace and fourier transforms | Publisher: | Royal Society of London | Project: | Viscoelasticity of fractional type and shape optimization in a theory of rods Methods of Functional and Harmonic Analysis and PDE with Singularities Integrated system for detection and estimation of fire development by real-time monitoring of critical parameters Development of Dialogue Systems for Serbian and Other South Slavic Languages Secretariat for Science of Vojvodina, Grant 114-451-1084 |
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