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

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorJaradat, Imad
dc.contributor.authorAlquran, Marwan
dc.contributor.authorYousef, Feras
dc.contributor.authorMomani, Shaher
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-02-14T10:53:04Z
dc.date.available2020-02-14T10:53:04Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractThe 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.en_US
dc.description.publishedMonth7
dc.identifier.citationJaradat, 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.en_US
dc.identifier.doi10.1140/epjp/i2019-12769-8
dc.identifier.issn2190-5444
dc.identifier.issue7en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2442
dc.identifier.volume134en_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectPower-Series Methoden_US
dc.subjectFractional Calculusen_US
dc.subjectWave-Likeen_US
dc.subjectDiffusionen_US
dc.subjectEquationsen_US
dc.subjectPropagationen_US
dc.subjectDerivativesen_US
dc.subjectDispersionen_US
dc.titleOn (2+1)-dimensional physical models endowed with decoupled spatial and temporal memory indices(star)tr_TR
dc.titleOn (2+1)-Dimensional Physical Models Endowed With Decoupled Spatial and Temporal Memory Indices(Star)en_US
dc.typeArticleen_US
dspace.entity.typePublication

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