Distributed-order fractional constitutive stress–strain relation in wave propagation modeling
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 …
in an infinite media. Existence and uniqueness of fundamental solution to the generalized …
Micro-local and qualitative analysis of the fractional Zener wave equation
F Broucke, L Oparnica - Journal of Differential Equations, 2022 - Elsevier
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 …
equation. The classical and Gevrey-type wave front sets of the fundamental solution are …
Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
D Zorica, L Oparnica - Philosophical Transactions of the …, 2020 - royalsocietypublishing.org
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 …
hereditary fractional wave equations, obtained through the system of equations consisting of …
Fractional Burgers wave equation
L Oparnica, D Zorica, AS Okuka - Acta Mechanica, 2019 - Springer
Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media,
divided into two classes according to model behavior in stress relaxation and creep tests …
divided into two classes according to model behavior in stress relaxation and creep tests …
Solvability and microlocal analysis of the fractional Eringen wave equation
G Hörmann, L Oparnica… - … and Mechanics of Solids, 2018 - journals.sagepub.com
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 …
solutions to the fractional Eringen wave equation, initially given in the form of a system of …
[PDF][PDF] Asymptotic methods in number theory and analysis
F Broucke - 2022 - biblio.ugent.be
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 …
myself firmly belonging to the latter. This thesis is therefore a collection of problems which I …
Hereditariness and non-locality in wave propagation modelling
D Zorica - Theoretical and Applied Mechanics, 2020 - mathnet.ru
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 …
order to account for the memory and non-local effects that might be material features. Both …
[PDF][PDF] FRACTAIS, LEIS DE POTÊNCIA, CÁLCULO FRACIONÁRIO E ALÉM. 2. DESENVOLVIMENTO
PRF Mosca - academia.edu
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 …
os fractais, cálculo fracionário com operadores locais, a relação com a cinética …
[PDF][PDF] ANALYSIS OF THE FRACTIONAL ZENER WAVE EQUATION
F Broucke—fabrouck - cage.ugent.be
Analysis of the fractional Zener wave equation Page 1 ISAAC 2021, AUGUST 4, 2021,
GHENT, BELGIUM ANALYSIS OF THE FRACTIONAL ZENER WAVE EQUATION Frederik …
GHENT, BELGIUM ANALYSIS OF THE FRACTIONAL ZENER WAVE EQUATION Frederik …
Microlocal Analysis of Hyperbolic Equations with Memory and Applications
J Cocola - 2018 - search.proquest.com
This thesis introduces a framework for extending microlocal analysis to hyperbolic equations
with memory. These equations describe wave motion in attenuating and dispersive media …
with memory. These equations describe wave motion in attenuating and dispersive media …