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Observing diffusion problems defined on cantor sets in different co-ordinate systems

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2015

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Vinca Inst Nuclear Sci.

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Abstract

In this paper, the 2-D and 3-D diffusions defined on Cantor sets with local fractional differential operator were discussed in different co-ordinate systems. The 2-D diffusion in Cantorian co-ordinate system can be converted into the symmetric diffusion defined on Cantor sets. The 3-D diffusions in Cantorian co-ordinate system can be observed in the Cantor-type cylindrical and spherical co-ordinate methods.
In this paper, the 2-D and 3-D diffusions defined on Cantor sets with local fractional differential operator were discussed in different co-ordinate systems. The 2-D diffusion in Cantorian co-ordinate system can be converted into the symmetric diffusion defined on Cantor sets. The 3-D diffusions in Cantorian co-ordinate system can be observed in the Cantor-type cylindrical and spherical co-ordinate methods.

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Diffusion, Cantor-Type Circle-Co-Ordinate Method, Cantor-Type Cylindrical-Co-Ordinate Method, Cantor-Type Spherical-Co-Ordinate Method, Local Fractional Derivative

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Yang, X.J., Baleanu, D., Baleanu, M.C. (2015). Observing diffusion problems defined on cantor sets in different co-ordinate systems. Thermal Science, 19, 151-156. http://dx.doi.org/10.2298/TSCI141126065Y

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Thermal Science

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19

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151

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156