|Title:||Solvability and microlocal analysis of the fractional Eringen wave equation||Journal:||Mathematics and Mechanics of Solids||Volume:||23||Issue:||10||First page:||1420||Last page:||1430||Issue Date:||1-Oct-2018||Rank:||M21a||ISSN:||10812865||DOI:||10.1177/1081286517726371||Abstract:||
© The Author(s) 2017. 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 as a function of the order of the space fractional derivative.
|Keywords:||Cauchy problem | distributional solutions | Eringen constitutive equation | fractional derivatives | Wavefront set||Publisher:||SAGE Journals||Project:||Austrian Science Fund, Grant P25326
Viscoelasticity of fractional type and shape optimization in a theory of rods
Methods of Functional and Harmonic Analysis and PDE with Singularities
Secretariat for Science Higher Education of Vojvodina, Grant 142-451-2489
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