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A New Analysis of the Fornberg-Whitham Equation Pertaining to A Fractional Derivative With Mittag-Leffler-Type Kernel

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dc.contributor.author Kumar, Devendra
dc.contributor.author Singh, Jagdev
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-31T20:20:14Z
dc.date.available 2020-03-31T20:20:14Z
dc.date.issued 2018-02-22
dc.identifier.citation Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru, "A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel", European Physical Journal Plus, Vol. 133, No. 2, (2018) tr_TR
dc.identifier.issn 2190-5444
dc.identifier.uri http://hdl.handle.net/20.500.12416/2803
dc.description.abstract The mathematical model of breaking of non-linear dispersive water waves with memory effect is very important in mathematical physics. In the present article, we examine a novel fractional extension of the non-linear Fornberg-Whitham equation occurring in wave breaking. We consider the most recent theory of differentiation involving the non-singular kernel based on the extended Mittag-Leffler-type function to modify the Fornberg-Whitham equation. We examine the existence of the solution of the non-linear Fornberg-Whitham equation of fractional order. Further, we show the uniqueness of the solution. We obtain the numerical solution of the new arbitrary order model of the non-linear Fornberg-Whitham equation with the aid of the Laplace decomposition technique. The numerical outcomes are displayed in the form of graphs and tables. The results indicate that the Laplace decomposition algorithm is a very user-friendly and reliable scheme for handling such type of non-linear problems of fractional order. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Heidelberg tr_TR
dc.relation.isversionof 10.1140/epjp/i2018-11934-y tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Differential-Equations tr_TR
dc.subject Model tr_TR
dc.subject Order tr_TR
dc.title A New Analysis of the Fornberg-Whitham Equation Pertaining to A Fractional Derivative With Mittag-Leffler-Type Kernel 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 133 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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