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Thermoelasticity Based on Fractional Telegraph Equation

  • Yuriy PovstenkoEmail author
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 219)

Abstract

Theory of thermal stresses based on the fractional telegraph equation with the Caputo time-derivative is considered. The fundamental solutions to the source problem are obtained in one-dimensional, axisymmetric and central symmetric cases, associated thermal stresses are studied. The space-time fractional telegraph equation is also considered in axisymmetric and central symmetric cases. The Caputo time-fractional derivative and the Riesz space-fractional operator (the fractional Laplace operator) are used. The integral transform technique is employed. Numerical results are illustrated graphically for different values of the order of time- and space-fractional derivatives.

Keywords

Wave Front Heat Conduction Equation Modify Bessel Function Heaviside Step Function Generalize Thermoelasticity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Mathematics and Computer ScienceJan Długosz UniversityCzęstochowaPoland

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