Baleanu, DumitruRahmat, Mohamad Rah SegiBaleanu, DumitruYang, Xiao-Jun2025-05-132025-05-13201597831104720979783110472080https://doi.org/10.1515/9783110472097-014https://hdl.handle.net/20.500.12416/9912Segi Rahmat, Mohamad Rafi/0000-0001-9696-7969; Yang, Xiao-Jun/0000-0003-0009-4599In this article, we utilize the Cantor-type spherical coordinate method to investigate a family of local fractional differential operators on Cantor sets. Some examples are discussed to show the capability of this method for the damped wave, Helmholtz and heat conduction equations defined on Cantor sets. We show that it is a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type spherical-coordinate systems.eninfo:eu-repo/semantics/closedAccessCantor SetsLocal Fractional DerivativesLocal Fractional Dynamic EquationCantor-Type Spherical-CoordinateBook Part23124210.1515/9783110472097-0142-s2.0-84986274558WOS:000477805300014N/AN/A