Baleanu, DumitruZhao, YangBaleanu, DumitruCattani, CarloCheng, De-FuYang, Xiao-Jun2020-05-022020-05-0220131687-73571687-7365https://hdl.handle.net/20.500.12416/3597Maxwell's equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell's equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwell's equations on Cantor sets in the Cantorian and Cantor-type cylindrical coordinates are obtained. Maxwell's equations on Cantor set with local fractional operators are the first step towards a unified theory of Maxwell's equations for the dynamics of cold dark matter.eninfo:eu-repo/semantics/openAccessFractal Space-TimeArticle10.1155/2013/686371