Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions

Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions

The time-fractional heat conduction equation with the Caputo derivative of the order 0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of the values of temperature and the values of...

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Main Author: Y. Z. Povstenko
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2012/154085
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spelling doaj-6dad31633f9a43d49696077e91b36c3e2020-11-24T22:55:06ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/154085154085Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary ConditionsY. Z. Povstenko0Institute of Mathematics and Computer Science, Jan Dlugosz University, 42200 Czestochowa, PolandThe time-fractional heat conduction equation with the Caputo derivative of the order 0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of the values of temperature and the values of its normal derivative and the physical condition with the prescribed linear combination of the values of temperature and the values of the heat flux at the boundary.http://dx.doi.org/10.1155/2012/154085
collection DOAJ
language English
format Article
sources DOAJ
author Y. Z. Povstenko
spellingShingle Y. Z. Povstenko
Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
International Journal of Differential Equations
author_facet Y. Z. Povstenko
author_sort Y. Z. Povstenko
title Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
title_short Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
title_full Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
title_fullStr Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
title_full_unstemmed Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
title_sort axisymmetric solutions to time-fractional heat conduction equation in a half-space under robin boundary conditions
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2012-01-01
description The time-fractional heat conduction equation with the Caputo derivative of the order 0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of the values of temperature and the values of its normal derivative and the physical condition with the prescribed linear combination of the values of temperature and the values of the heat flux at the boundary.
url http://dx.doi.org/10.1155/2012/154085
work_keys_str_mv AT yzpovstenko axisymmetricsolutionstotimefractionalheatconductionequationinahalfspaceunderrobinboundaryconditions
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