Maxwell's Equations on Cantor Sets: A Local Fractional Approach

Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun

dc.contributor.author	Zhao, Yang
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Cattani, Carlo
dc.contributor.author	Cheng, De-Fu
dc.contributor.author	Yang, Xiao-Jun
dc.date.accessioned	2020-05-02T15:43:26Z
dc.date.available	2020-05-02T15:43:26Z
dc.date.issued	2013
dc.identifier.issn	1687-7357
dc.identifier.issn	1687-7365
dc.identifier.uri	http://hdl.handle.net/20.500.12416/3597
dc.description.abstract	Maxwell'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.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Hindawi LTD	tr_TR
dc.relation.isversionof	10.1155/2013/686371	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractal Space-Time	tr_TR
dc.title	Maxwell's Equations on Cantor Sets: A Local Fractional Approach	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances in High Energy Physics	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR