One-Dimensional Fractional Quasi-Static Thermoelasticity Problem for a Half-Space

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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.

WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 8, 2013

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L. A. Fil’Shtinskii, T. A. Kirichok, D. V. Kushnir, "One-Dimensional Fractional Quasi-Static Thermoelasticity Problem for a Half-Space," WSEAS Transactions on Heat and Mass Transfer, vol. 8, pp. -, 2013, DOI:
L. A. Fil’Shtinskii, T. A. Kirichok, D. V. Kushnir. One-Dimensional Fractional Quasi-Static Thermoelasticity Problem for a Half-Space. WSEAS Transactions on Heat and Mass Transfer. 2013;8:-.
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