This article is cited in 10 papers

Theoretical and Mathematical Physics

Peculiarities of solutions to the heat conduction equation in fractional derivatives

R. P. Meylanov, M. R. Shabanova

Institute of Geothermy Problems, Makhachkala

Abstract: Features of solutions to the heat conduction equation in fractional derivatives taking into account diffusion and convection mechanisms of heat transfer are analyzed. One-dimensional cases of infinite straight line, semi-infinite line, and the problem with zero initial conditions are considered.

Received: 15.08.2008
Accepted: 29.11.2010

 English version: Technical Physics, 2011, 56:7, 903–908

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