TY - JOUR TI - Observing diffusion problems defined on cantor sets in different coordinate systems AU - Yang Xiao-Jun AU - Baleanu Dumitru AU - Baleanu Mihaela-Cristina JN - Thermal Science PY - 2015 VL - 19 IS - 11 SP - 151 EP - 156 PT - Article AB - 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.