Yang, Xiao-JunBaleanu, DumitruBaleanu, Mihaela Cristina2017-03-292017-03-292015Yang, 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/TSCI141126065Y0354-9836http://hdl.handle.net/20.500.12416/1516In 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.eninfo:eu-repo/semantics/openAccessDiffusionCantor-Type Circle-Co-Ordinate MethodCantor-Type Cylindrical-Co-Ordinate MethodCantor-Type Spherical-Co-Ordinate MethodLocal Fractional DerivativeArticle1915115610.2298/TSCI141126065Y