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An analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kernel

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dc.contributor.author Kumar, Amit
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-11T13:52:30Z
dc.date.available 2022-03-11T13:52:30Z
dc.date.issued 2021-05-15
dc.identifier.citation Kumar, Amit; Baleanu, Dumitru (2021). "An analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kernel", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 5458-5474. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/5111
dc.description.abstract Within this paper, we present an analysis of the fractional model of the Klein-Gordon (K-G) equation. K-G equation is considered as one of the significant equations in mathematical physics that describe the interaction of soliton in a collision less plasma. In a novel aspect of this work, we have used the latest form of fractional derivative (FCs), which contains the Mittag-Leffler type of kernel. The homotopy analysis transform method (HATM) is being taken to solve the fractional model of the K-G equation. A convergence study of HATM has been studied. The existence and uniqueness of the solution for the fractional K-G equation are presented. For verifying the obtained numerical outcomes regarding accuracy and competency, we have given different graphical presentations. Figures are reflecting that a novel form of the technique is a good organization in respect of proficiency and accurateness to solve the mentioned fractional problem. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.7122 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.title An analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kernel tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 44 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 5458 tr_TR
dc.identifier.endpage 5474 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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