WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 8, 2013
One-Dimensional Fractional Quasi-Static Thermoelasticity Problem for a Half-Space
Authors: L. A. Fil’Shtinskii, T. A. Kirichok, D. V. Kushnir
Abstract: This paper is devoted to the analytical solution of the space-time fractional heat conduction equation and associated thermoelasticity problem for a half-space in one-dimensional case. Finite Riesz fractional derivative and Caputo derivative are considered. Laplace transform with respect to time and sin-Fourier transform with respect to spatial coordinate are used. Numerical results are also presented.