Wave equation for generalized Zener model containing complex order fractional derivatives
Analysis of PDEs
2017-02-01 v1
Abstract
We study waves in a viscoelastic rod whose constitutive equation is of generalized Zener type that contains fractional derivatives of complex order. The restrictions following from the Second Law of Thermodynamics are derived. The initial-boundary value problem for such materials is formulated and solution is presented in the form of convolution. Two specific examples are analyzed.
Keywords
Cite
@article{arxiv.1605.02165,
title = {Wave equation for generalized Zener model containing complex order fractional derivatives},
author = {Teodor M. Atanacković and Marko Janev and Sanja Konjik and Stevan Pilipović},
journal= {arXiv preprint arXiv:1605.02165},
year = {2017}
}