Cantor-Type Cylindrical-Coordinate Method For Differential Equations With Local Fractional Derivatives

Yang, Xiao-Jun; Srivastava, H. M.; Baleanu, Dumitru; He, Ji-Huan

dc.contributor.author	Yang, Xiao-Jun
dc.contributor.author	Srivastava, H. M.
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	He, Ji-Huan
dc.date.accessioned	2020-05-15T16:06:15Z
dc.date.available	2020-05-15T16:06:15Z
dc.date.issued	2013-10-15
dc.identifier.issn	0375-9601
dc.identifier.uri	http://hdl.handle.net/20.500.12416/3864
dc.description.abstract	In 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.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Elsevier Science	tr_TR
dc.relation.isversionof	10.1016/j.physleta.2013.04.012	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Heat-Conduction Equation	tr_TR
dc.subject	Damped Wave Equation	tr_TR
dc.subject	Local Fractional Derivatives	tr_TR
dc.subject	Cantor Set	tr_TR
dc.title	Cantor-Type Cylindrical-Coordinate Method For Differential Equations With Local Fractional Derivatives	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Physics Letters A	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	377	tr_TR
dc.identifier.issue	28-30	tr_TR
dc.identifier.startpage	1696	tr_TR
dc.identifier.endpage	1700	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR