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Cantor-Type Spherical-Coordinate Method for Differential Equations Within Local Fractional Derivatives

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dc.authoridSegi Rahmat, Mohamad Rafi/0000-0001-9696-7969
dc.authoridYang, Xiao-Jun/0000-0003-0009-4599
dc.authorscopusid37666043500
dc.authorscopusid7005872966
dc.authorscopusid37006104500
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.authorwosidYang, Xiao-Jun/E-8311-2011
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorYang, Xiao-Jun
dc.date.accessioned2025-05-13T13:32:25Z
dc.date.available2025-05-13T13:32:25Z
dc.date.issued2015
dc.departmentÇankaya Universityen_US
dc.department-temp[Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Rahmat, Mohamad Rah Segi] Univ Nottingham, Sch Appl Math, Semenyih 43500, Selangor DE, Malaysia; [Yang, Xiao-Jun] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R Chinaen_US
dc.descriptionSegi Rahmat, Mohamad Rafi/0000-0001-9696-7969; Yang, Xiao-Jun/0000-0003-0009-4599en_US
dc.description.abstractIn 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.en_US
dc.description.woscitationindexBook Citation Index – Science
dc.identifier.doi10.1515/9783110472097-014
dc.identifier.endpage242en_US
dc.identifier.isbn9783110472097
dc.identifier.isbn9783110472080
dc.identifier.scopus2-s2.0-84986274558
dc.identifier.scopusqualityN/A
dc.identifier.startpage231en_US
dc.identifier.urihttps://doi.org/10.1515/9783110472097-014
dc.identifier.urihttps://hdl.handle.net/20.500.12416/9912
dc.identifier.wosWOS:000477805300014
dc.identifier.wosqualityN/A
dc.language.isoenen_US
dc.publisherde Gruyter Open Ltden_US
dc.relation.ispartofFractional Dynamicsen_US
dc.relation.publicationcategoryKitap Bölümü - Uluslararasıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount1
dc.subjectCantor Setsen_US
dc.subjectLocal Fractional Derivativesen_US
dc.subjectLocal Fractional Dynamic Equationen_US
dc.subjectCantor-Type Spherical-Coordinateen_US
dc.titleCantor-Type Spherical-Coordinate Method for Differential Equations Within Local Fractional Derivativesen_US
dc.typeBook Parten_US
dc.wos.citedbyCount1
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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