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On (2+1)-dimensional physical models endowed with decoupled spatial and temporal memory indices(star)

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jaradat, Imad
dc.contributor.author Alquran, Marwan
dc.contributor.author Yousef, Feras
dc.contributor.author Momani, Shaher
dc.date.accessioned 2020-02-14T10:53:04Z
dc.date.available 2020-02-14T10:53:04Z
dc.date.issued 2019-07
dc.identifier.citation Jaradat, Imad...et al. (2019). "On (2+1)-dimensional physical models endowed with decoupled spatial and temporal memory indices(star)", European Physical Journal Plus, Vol. 134, No. 7. tr_TR
dc.identifier.issn 2190-5444
dc.identifier.uri http://hdl.handle.net/20.500.12416/2442
dc.description.abstract The current work concerns the development of an analytical scheme to handle (2 + 1) -dimensional partial differential equations endowed with decoupled spatial and temporal fractional derivatives (abbreviated by (alpha,beta) -models). For this purpose, a new bivariate fractional power series expansion has been integrated with the differential transform scheme. The mechanism of the submitted scheme depends mainly on converting the (alpha,beta) -model to a recurrence-differential equation that can be easily solved by virtue of an iterative procedure. This, in turn, reduces the computational cost of the Taylor power series method and consequently introduces a significant refinement for solving such hybrid models. To elucidate the novelty and efficiency of the proposed scheme, several (alpha,beta) -models are solved and the presence of remnant memory, due to the fractional derivatives, is graphically illustrated. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Heidelberg tr_TR
dc.relation.isversionof 10.1140/epjp/i2019-12769-8 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Differential Transform Method tr_TR
dc.subject Power-Series Method tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Wave-Like tr_TR
dc.subject Diffusion tr_TR
dc.subject Equations tr_TR
dc.subject Propagation tr_TR
dc.subject Derivatives tr_TR
dc.subject Dispersion tr_TR
dc.title On (2+1)-dimensional physical models endowed with decoupled spatial and temporal memory indices(star) tr_TR
dc.type article tr_TR
dc.relation.journal European Physical Journal Plus tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 134 tr_TR
dc.identifier.issue 7 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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