Baleanu, DumitruCattani, CarloCheng, De-FuYang, Xiao-JunZhao, Yang02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-05-022025-09-182020-05-022025-09-1820131687-73571687-7365https://doi.org/10.1155/2013/686371https://hdl.handle.net/123456789/12337Cattani, Carlo/0000-0002-7504-0424; Yang, Xiao-Jun/0000-0003-0009-4599Maxwell'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/openAccessArticle10.1155/2013/6863712-s2.0-84890036462