Phonon hydrodynamics is an effective macroscopic method to study heat transport in
dielectric solid and semiconductor. It has a clear and intuitive physical picture, transforming …

We consider the thermal instability in a Brinkman porous media incorporating fluid inertia.
Both free–free and fixed–fixed boundaries are investigated. We have incorporated the …

We consider a thermoelastic theory where the heat conduction is described by the Moore–
Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a …

This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …

The Prabhakar function (namely, a three parameter Mittag–Leffler function) is investigated.
This function plays a fundamental role in the description of the anomalous dielectric …

The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion
Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation …

Theory of Elasticity and Thermal Stresses Page 1 Theory of Elasticity and Thermal Stresses M.
Reza Eslami · Richard B. Hetnarski Józef Ignaczak · Naotake Noda Naobumi Sumi · Yoshinobu …

This study is concerned with the mixed initial boundary value problem for a dipolar body in
the context of the thermoelastic theory proposed by Green and Naghdi. For the solutions of …

In this paper, we consider a thermoelastic model where heat conduction is described by the
history dependent version of the Moore–Gibson–Thompson equation, arising via the …