Baleanu, DumitruYang, Xiao-JunSrivastava, H. M.Baleanu, DumitruHe, Ji-Huan2020-05-152020-05-1520130375-9601https://hdl.handle.net/20.500.12416/3864In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. (c) 2013 Published by Elsevier B.V.eninfo:eu-repo/semantics/closedAccessHeat-Conduction EquationDamped Wave EquationLocal Fractional DerivativesCantor SetArticle37728-301696170010.1016/j.physleta.2013.04.012