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An Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Space

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dc.contributor.author Alquran, Marwan
dc.contributor.author Jaradat, Imad
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Abdel-Muhsen, Ruwa
dc.date.accessioned 2020-03-16T13:05:44Z
dc.date.available 2020-03-16T13:05:44Z
dc.date.issued 2019-02-01
dc.identifier.citation Alquran, Marwan...et al. (2019). "An Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Space", Romanian Journal of Physics, Vol. 64. tr_TR
dc.identifier.issn 1221-146X
dc.identifier.uri http://hdl.handle.net/20.500.12416/2638
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Editura Academiei Romane tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Memory Index (Fractional Derivative) tr_TR
dc.subject Fractional Partial Differential Equations tr_TR
dc.subject Solutions in Closed Form tr_TR
dc.title An Analytical Study of (2+1)-Dimensional Physical Models Embedded Entirely in Fractal Space tr_TR
dc.type article tr_TR
dc.relation.journal Romanian Journal of Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 64 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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