We consider a three-dimensional axisymmetric problem for a differential heat conduction equation with fractional time derivatives. Using the method of homogeneous solutions and integral transformations, we obtain an asymptotic and a numerical solution of the problem. The results of calculations are presented.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 2, pp. 156–160, April–June, 2010.
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Fil’shtinskii, L.A., Mukomel, T.V. & Kirichok, T.A. Solution of a three-dimensional boundary-value problem for a fractional differential heat conduction equation. J Math Sci 178, 557–563 (2011). https://doi.org/10.1007/s10958-011-0569-2
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DOI: https://doi.org/10.1007/s10958-011-0569-2