Fractional order generalized thermoelasticity theories: A review

نویسندگان

  • Sandeep Singh Sheoran
  • Pradeep Kundu
چکیده

In the present article, a comprehensive review of relevant literature is presented to highlight the role of fractional calculus in the field of thermoelasticity. This review is devoted to the generalizations of the classical heat conduction equation and formulation of associated theories of fractional thermoelasticity. The recently developed fractional order thermoelastic models are described with their basic mathematical formulation and characteristic features of these models are illustrated. Finally, 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 continuum. MSC: 26A33 • 74A15 • 80A20

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تاریخ انتشار 2016