Fractional Diffusion in a Solid with Mass Absorption

Fractional Diffusion in a Solid with Mass Absorption

The space-time-fractional diffusion equation with the Caputo time-fractional derivative and Riesz fractional Laplacian is considered in the case of axial symmetry. Mass absorption (mass release) is described by a source term proportional to concentration. The integral transform technique is used. Di...

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Bibliographic Details
Main Authors: Yuriy Povstenko, Tamara Kyrylych, Grażyna Rygał
Format: Article
Language:English
Published: MDPI AG 2017-05-01
Series:Entropy
Subjects:
fractional calculus
Caputo derivative
Riesz derivative
Mittag-Leffler function
Laplace transform
Online Access:http://www.mdpi.com/1099-4300/19/5/203
Description
Summary:The space-time-fractional diffusion equation with the Caputo time-fractional derivative and Riesz fractional Laplacian is considered in the case of axial symmetry. Mass absorption (mass release) is described by a source term proportional to concentration. The integral transform technique is used. Different particular cases of the solution are studied. The numerical results are illustrated graphically.
ISSN:1099-4300

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