Space-time fractional Zener wave equation
Mathematical Physics
2014-12-30 v1 math.MP
Abstract
Space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analyzed. This model includes waves with finite speed, as well as non-propagating 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.
Cite
@article{arxiv.1402.4927,
title = {Space-time fractional Zener wave equation},
author = {Teodor M. Atanackovic and Marko Janev and Ljubica Oparnica and Stevan Pilipovic and Dusan Zorica},
journal= {arXiv preprint arXiv:1402.4927},
year = {2014}
}