Srivastava, H. M.He, Ji-HuanBaleanu, DumitruYang, Xiao-Jun02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-05-152025-09-182020-05-152025-09-1820130375-9601https://doi.org/10.1016/j.physleta.2013.04.012https://hdl.handle.net/123456789/11884Yang, Xiao-Jun/0000-0003-0009-4599; Srivastava, Hari M./0000-0002-9277-8092In 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 SetArticle10.1016/j.physleta.2013.04.0122-s2.0-84878016367