Kumar, AmitBaleanu, Dumitru2022-03-112022-03-112021Kumar, 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. 5458-5474.0170-4214http://hdl.handle.net/20.500.12416/5111Within 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.eninfo:eu-repo/semantics/closedAccessArticle4475458547410.1002/mma.7122