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On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Aydogn, Seher Melike
dc.contributor.author Mohammadi, Hakimeh
dc.contributor.author Rezapour, Shahram
dc.date.accessioned 2022-11-10T10:47:28Z
dc.date.available 2022-11-10T10:47:28Z
dc.date.issued 2020-10
dc.identifier.citation Baleanu, Dumitru...et al. (2020). "On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3029-3039. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/5840
dc.description.abstract We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are presented as infinite series converging to the solution. We prove the existence, uniqueness, and stability of the solution by using the fixed point theory. Also, we provide some numerical results to illustrate the effectiveness of the new derivative. © 2020 tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.05.007 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Infection Diseases Model tr_TR
dc.subject Laplace Adomian Decomposition tr_TR
dc.subject Numerical Simulation tr_TR
dc.subject The Caputo-Fabrizio Fractional Derivative tr_TR
dc.title On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 3029 tr_TR
dc.identifier.endpage 3039 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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