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Heat and Maxwell's equations on cantor cubes

dc.contributor.authorGolmankhaneh, Alireza K.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-02-21T10:54:27Z
dc.date.available2020-02-21T10:54:27Z
dc.date.issued2017
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe fractal physics is an important research domain due to its scaling properties that can be seen everywhere in the nature. In this work, the generalized Maxwell's equations are given using fractal differential equations on the Cantor cubes and the electric field for the fractal charge distribution is derived. Moreover, the fractal heat equation is defined, which can be an adequate mathematical model for describing the flowing of the heat energy in fractal media. The suggested models are solved and the plots of the corresponding solutions are presented. A few illustrative examples are given to demonstrate the application of the obtained results in solving diverse physical problems.en_US
dc.identifier.citationGolmankhaneh, Alireza K; Baleanu, Dumitru, "Heat and Maxwell's equations on cantor cubes", Romanian Reports In Physics, Vol. 69, No.2, (2017).en_US
dc.identifier.issn1221-1451
dc.identifier.issue2en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2487
dc.identifier.volume69en_US
dc.language.isoenen_US
dc.publisherEditura Academiei Romaneen_US
dc.relation.ispartofRomanian Reports In Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractal Heat Equationen_US
dc.subjectFractal Wave Equationen_US
dc.subjectFractal Calculusen_US
dc.subjectFractal Cantor Cubesen_US
dc.subjectStaircase Functionen_US
dc.titleHeat and Maxwell's equations on cantor cubestr_TR
dc.titleHeat and Maxwell's Equations on Cantor Cubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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