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:-.
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: , ,
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.
Keywords:
Fractional heat conduction equation, Caputo derivative, Riesz derivative, Laplace transform, Fourier transform, generalized Mittag-Leffler function, rapidly heated boundary, quasi-static thermoelasticity problem
Pages: - WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 8, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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