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Ternary-fractional differential transform schema: theory and application

dc.contributor.authorYousef, Feras
dc.contributor.authorAlquran, Marwan
dc.contributor.authorJaradat, Imad
dc.contributor.authorMomani, Shaher
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-27T12:17:07Z
dc.date.available2019-12-27T12:17:07Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractIn this article, we propose a novel fractional generalization of the three-dimensional differential transform method, namely the ternary-fractional differential transform method, that extends its applicability to encompass initial value problems in the fractal 3D space. Several illustrative applications, including the Schrodinger, wave, Klein-Gordon, telegraph, and Burgers' models that are fully embedded in the fractal 3D space, are considered to demonstrate the superiority of the proposed method compared with other generalized methods in the literature. The obtained solution is expressed in a form of an (alpha) over bar -fractional power series, with easily computed coefficients, that converges rapidly to its closed-form solution. Moreover, the projection of the solutions into the integer 3D space corresponds with the solutions of the classical copies for these models. This reveals that the suggested technique is effective and accurate for handling many other linear and nonlinear models in the fractal 3D space. Thus, research on this trend is worth tracking.en_US
dc.description.publishedMonth5
dc.identifier.citationYousef, Feras...et al. (2019). "Ternary-fractional differential transform schema: theory and application", Advances in Difference Equations.en_US
dc.identifier.doi10.1186/s13662-019-2137-x
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2324
dc.language.isoenen_US
dc.publisherSpringer Openen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Derivativeen_US
dc.subjectPDEs in Fractal 3D Spaceen_US
dc.subjectTernary-Fractional Differential Transformen_US
dc.titleTernary-fractional differential transform schema: theory and applicationtr_TR
dc.titleTernary-Fractional Differential Transform Schema: Theory and Applicationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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