An analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kernel
dc.contributor.author | Kumar, Amit | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-03-11T13:52:30Z | |
dc.date.available | 2022-03-11T13:52:30Z | |
dc.date.issued | 2021 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
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. | en_US |
dc.description.publishedMonth | 5 | |
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. | en_US |
dc.identifier.doi | 10.1002/mma.7122 | |
dc.identifier.endpage | 5474 | en_US |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issue | 7 | en_US |
dc.identifier.startpage | 5458 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5111 | |
dc.identifier.volume | 44 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.title | An analysis for Klein-Gordon equation using fractional derivative having Mittag-Leffler-type kernel | tr_TR |
dc.title | An Analysis for Klein-Gordon Equation Using Fractional Derivative Having Mittag-Leffler Kernel | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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