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Waves in fractional Zener type viscoelastic media |
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| Authors: | Sanja Konjik |
| Institution: | a Faculty of Agriculture, Department of Agricultural Engineering, University of Novi Sad, Trg Dositeja Obradovi?a 8, 21000 Novi Sad, Serbia b Institute of Mathematics, Serbian Academy of Science and Art, Kneza Mihaila 35, 11000 Belgrade, Serbia c Faculty of Civil Engineering, University of Novi Sad, Kozara?ka 2a, 24000 Subotica, Serbia |
| 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 Laplace and Fourier transforms Fundamental solution Fractional Zener model |
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