Fractional Thermoelasticity: a Review

EasyChair Preprint 9531

Abstract

In the present article, a review of fractional order thermoelastic models that look very promising for future development
of fractional order theories. We have presented a short introduction to fractional calculus as a theory of integration
and differentiation of non-integer order. The recently developed fractional order thermoelastic models are described
with their basic mathematical formulation and characteristic features of these models are illustrated. Also, the paper
concludes with a discussion on the future potential of the use of fractional order theory of thermoelasticity for the
analysis of thermodynamical interactions in solid.

Keyphrases: Elasticity, Fractional order derivative, Thermoelasticity, fractional calculus

@booklet{EasyChair:9531,
  author    = {Satish Khavale and Kishor Gaikwad},
  title     = {Fractional Thermoelasticity: a Review},
  howpublished = {EasyChair Preprint 9531},
  year      = {EasyChair, 2023}}