Some peculiarities of the solution of the heat conduction equation in fractional calculus

The solution of the heat conduction equation in derivatives of fractional order with the account of diffuse and convective mechanisms of heat transfer is provided. The dependence of the temperature distribution on the rates of derivatives of fractional order by time and coordinate is studied.

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2015-06, Vol.75, p.29-33
Main Authors: Meilanov, R.P., Shabanova, M.R., Akhmedov, E.N.
Format: Article
Language:English
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Summary:The solution of the heat conduction equation in derivatives of fractional order with the account of diffuse and convective mechanisms of heat transfer is provided. The dependence of the temperature distribution on the rates of derivatives of fractional order by time and coordinate is studied.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2015.01.024