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AN ANALYTICAL STUDY OF (2+1)-DIMENSIONAL PHYSICAL MODELS EMBEDDED ENTIRELY IN FRACTAL SPACE

dc.contributor.authorAlquran, Marwan
dc.contributor.authorJaradat, Imad
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAbdel-Muhsen, Ruwa
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-02-14T07:57:37Z
dc.date.available2023-02-14T07:57:37Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we analytically furnish the solution of (2 + 1)-dimensional fractional differential equations, with distinct fractal-memory indices in all coordinates, as a trivariate (alpha, beta, gamma)-fractional power series representation. The method is tested on several physical models with inherited memories. Moreover, a version of Taylor's theorem in fractal three-dimensional space is presented. As a special case, the solutions of the corresponding integer-order cases are extracted by letting alpha, beta, gamma -> 1, which indicates to some extent for a sequential memory.en_US
dc.identifier.citationAlquran, Marwan...et al. (2019). "AN ANALYTICAL STUDY OF (2+1)-DIMENSIONAL PHYSICAL MODELS EMBEDDED ENTIRELY IN FRACTAL SPACE", Romanian Journal of Physics, Vol. 64, No. 1-2.en_US
dc.identifier.issn1221-146X
dc.identifier.issue1-2en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6226
dc.identifier.volume64en_US
dc.language.isoenen_US
dc.relation.ispartofRomanian Journal of Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMemory Index (Fractional Derivative)en_US
dc.subjectFractional Partial Differential Equationsen_US
dc.subjectSolutions in Closed Formen_US
dc.titleAN ANALYTICAL STUDY OF (2+1)-DIMENSIONAL PHYSICAL MODELS EMBEDDED ENTIRELY IN FRACTAL SPACEtr_TR
dc.titleAn Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Spaceen_US
dc.typeArticleen_US
dspace.entity.typePublication

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