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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Bibliographic Details
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
Description
Summary: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.
ISSN:1687-9643
1687-9651