Distributed-order fractional model of viscoelastic body is used to describe wave propagation
in an infinite media. Existence and uniqueness of fundamental solution to the generalized …

This paper concerns the micro-local and qualitative analysis of the fractional Zener wave
equation. The classical and Gevrey-type wave front sets of the fundamental solution are …

Using the method of a priori energy estimates, energy dissipation is proved for the class of
hereditary fractional wave equations, obtained through the system of equations consisting of …

Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media,
divided into two classes according to model behavior in stress relaxation and creep tests …

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 …

Among the two “breeds” of mathematicians, theory builders and problem solvers, I consider
myself firmly belonging to the latter. This thesis is therefore a collection of problems which I …

The classical wave equation is generalized within the framework of fractional calculus in
order to account for the memory and non-local effects that might be material features. Both …

Esse texto trata de vários temas vinculados ao uso do cálculo fracionário: sua relação com
os fractais, cálculo fracionário com operadores locais, a relação com a cinética …

Analysis of the fractional Zener wave equation Page 1 ISAAC 2021, AUGUST 4, 2021,
GHENT, BELGIUM ANALYSIS OF THE FRACTIONAL ZENER WAVE EQUATION Frederik …

This thesis introduces a framework for extending microlocal analysis to hyperbolic equations
with memory. These equations describe wave motion in attenuating and dispersive media …