Solvability and microlocal analysis of the fractional Eringen wave equation
Analysis of PDEs
2018-12-14 v1 Mathematical Physics
math.MP
Abstract
We discuss unique existence and microlocal regularity properties of Sobolev space solutions to the fractional Eringen wave equation, initially given in the form of a system of equations in which the classical non-local Eringen constitutive equation is generalized by employing space-fractional derivatives. Numerical examples illustrate the shape of solutions in dependence of the order of the space-fractional derivative.
Keywords
Cite
@article{arxiv.1703.01911,
title = {Solvability and microlocal analysis of the fractional Eringen wave equation},
author = {Günther Hörmann and Ljubica Oparnica and Dušan Zorica},
journal= {arXiv preprint arXiv:1703.01911},
year = {2018}
}