Fractional Heat Conduction in an Infinite Medium with a Spherical Inclusion

Fractional Heat Conduction in an Infinite Medium with a Spherical Inclusion

The problem of fractional heat conduction in a composite medium consisting of a spherical inclusion (0< r < R)  and a matrix (R <  r < ∞)  being in perfect thermal contact at r = R  is considered. The heat conduction in each region is described by the time-fractional heat conduction equa...

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Bibliographic Details
Main Author: Yuriy Povstenko
Format: Article
Language:English
Published: MDPI AG 2013-09-01
Series:Entropy
Subjects:
fractional calculus
non-Fourier heat conduction
fractional diffusion-wave equation
perfect thermal contact
Laplace transform
Mittag-Leffler function
Wright function
Mainardi function
Online Access:http://www.mdpi.com/1099-4300/15/10/4122

Internet

http://www.mdpi.com/1099-4300/15/10/4122

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