The central symmetric time-fractional heat conduction equation with Caputo derivative of order 0 < α ≤ 2 is considered in a ball under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of values of temperature and values of its normal derivative at the boundary, and the physical condition with the prescribed linear combination of values of temperature and values of the heat flux at the boundary, which is a consequence of Newton’s law of convective heat exchange between a body and the environment. The integral transform technique is used. Numerical results are illustrated graphically.
@article{bwmeta1.element.doi-10_2478_s11533-013-0368-8,
author = {Yuriy Povstenko},
title = {Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {611-622},
zbl = {1290.35313},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0368-8}
}
Yuriy Povstenko. Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition. Open Mathematics, Tome 12 (2014) pp. 611-622. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0368-8/
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