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Thermoelasticity that uses fractional heat conduction equation

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A survey of nonlocal generalizations of the Fourier law and heat conduction equation is presented. More attention is focused on the heat conduction with time and space fractional derivatives and on the theory of thermal stresses based on this equation.

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Authors and Affiliations

  1. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    Y. Z. Povstenko

  2. Institute of Mathematics and Computer Science, Jan Długosz University of Częstochowa, Częstochowa, Poland

    Y. Z. Povstenko

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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 2, pp. 239–246, April–June, 2008.

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Povstenko, Y.Z. Thermoelasticity that uses fractional heat conduction equation. J Math Sci 162, 296–305 (2009). https://doi.org/10.1007/s10958-009-9636-3

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