Title: Solvability and microlocal analysis of the fractional Eringen wave equation,
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.