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

dc.contributor.authorKumar, Amit
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-11T13:52:30Z
dc.date.available2022-03-11T13:52:30Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWithin 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.en_US
dc.description.publishedMonth5
dc.identifier.citationKumar, 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.en_US
dc.identifier.doi10.1002/mma.7122
dc.identifier.endpage5474en_US
dc.identifier.issn0170-4214
dc.identifier.issue7en_US
dc.identifier.startpage5458en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5111
dc.identifier.volume44en_US
dc.language.isoenen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleAn analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kerneltr_TR
dc.titleAn Analysis for Klein-Gordon Equation Using Fractional Derivative Having Mittag-Leffler Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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