Fractional order theory of thermo-viscoelasticity and application

  • Hany H. Sherief
  • Mohammed A. El-HagaryEmail author


In this work, we derive a new fractional order theory for thermo-viscoelasticity. A uniqueness theorem for these equations is proved. A reciprocity theorem is also proved. A 1D problem for a viscoelastic half space is solved by using the Laplace transform technique. The solution in the transformed domain is obtained by a direct approach. The inverse transforms are obtained by using a numerical method. The temperature, displacement and stress distributions are computed and represented graphically.


Fractional calculus Half Space Reciprocity theorem Thermo-viscoelasticity Uniqueness theorem 



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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of AlexandriaAlexandriaEgypt
  2. 2.Department of MathematicsDamiatta UniversityNew DamiattaEgypt

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