Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

We now apply thermodynamic principles to field theories with memory. For general
nonlinear, nonisothermal theories, we assume that a free energy is given, this being the …

We discuss a novel approach to the mathematical analysis of equations with memory, based
on a new notion of state. This is the initial configuration of the system at time t= 0 which can …

This book provides a unified treatment of continuum physics. A systematic approach to the
balance equations is elaborated for wide-ranging classes of materials (classical continua …

Experimental studies recently performed on single cancer and healthy cells have
demonstrated that the former are about 70% softer than the latter, regardless of the cell lines …

In this paper, the authors introduce a hierarchic fractal model to describe bone
hereditariness. Indeed, experimental data of stress relaxation or creep functions obtained by …

This paper is concerned with the initial boundary value problem for viscoelastic Kirchhoff-
like plate equations with rotational inertia, memory, p-Laplacian restoring force, weak …

We consider the abstract integrodifferential equation u¨(t)+ A [u (t)+∫ 0∞ μ (s)[u (t)− u (t− s)]
ds]= 0 modeling the dynamics of linearly viscoelastic solids. The equation is known to …

In this paper the linear theory of viscoelasticity for Kelvin-Voigt materials with double porosity
is presented and the basic partial differential equations are derived. The system of these …

The non-local model of heat transfer, used to describe the deviations of the temperature field
from the well-known prediction of Fourier/Cattaneo models experienced in complex media …