Thermoelasticity Based on Fractional Telegraph Equation

Theory of thermal stresses based on the fractional telegraph equationFractional telegraph equation with the Caputo time-derivative is considered. The fundamental solutions to the source problemSource problem are obtained in one-dimensional, axisymmetric and central symmetric cases, associated thermal stresses are studied. The space-time-fractional telegraph equationFractional 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.