الفهرس 
CHAPTER 1Only 14 pages are availabe for public view
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Abstract
In this perspective, the aim of thesis presents several applications of fractional calculus
(FC) in the theories of thermo-elastic, thermo-viscoelastic and thermo-viscoelastic diffusion.
A new mathematical model for the governing equations in these fields has been derived using
the methodology of fractional calculus. The effects of time fractional derivative parameters
have been studied on the thermo-mechanical variables fields.a review of some background material is presented. We start with a
brief review of the basic concepts and definitions of fractional calculus and the linear theory
of elasticity. Next, a review of the theory of thermodynamics including the statement of the
first and second laws is presented. After that, we present the subject of thermoelasticity and
give a derivation of the equations of uncoupled, coupled and generalized thermoelasticity
theories, respectively. Finally, we present the linear theory of viscoelasticity including the
constitutive models of it. We follow with the effect of heat on viscoelastic material known as
thermoviscoelasticity