THERMAL SCIENCE

International Scientific Journal

Xiao-Jun Yang

,

Dumitru Baleanu

,

Mihaela-Cristina Baleanu

OBSERVING DIFFUSION PROBLEMS DEFINED ON CANTOR SETS IN DIFFERENT COORDINATE SYSTEMS

ABSTRACT
In this article, the two- and three-dimensional diffusions defined on Cantor sets with local fractional differential operator were discussed in different coordinate systems. The two-dimensional diffusion in Cantorian coordinate system can be converted into the symmetric diffusion defined on Cantor sets. The three-dimensional diffusions in Cantorian-coordinate system can be observed in the Cantor-type cylindrical- and spherical-coordinate methods.
KEYWORDS
diffusion, Cantor-type circle-coordinate method, Cantor-type cylindrical-coordinate method, Cantor-type spherical-coordinate method, local fractional derivative
PAPER SUBMITTED: 1970-01-01
PAPER REVISED: 2015-01-10
PAPER ACCEPTED: 2015-05-30
PUBLISHED ONLINE: 2015-05-30
DOI REFERENCE: https://doi.org/10.2298/TSCI141126065Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S151 - S156]
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Observing diffusion problems defined on cantor sets in different coordinate systems

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence