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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.authorBaleanu, Dumitru
dc.contributor.authorAydogn, Seher Melike
dc.contributor.authorMohammadi, Hakimeh
dc.contributor.authorRezapour, Shahram
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-11-10T10:47:28Z
dc.date.available2022-11-10T10:47:28Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe 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. © 2020en_US
dc.description.publishedMonth10
dc.identifier.citationBaleanu, 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.en_US
dc.identifier.doi10.1016/j.aej.2020.05.007
dc.identifier.endpage3039en_US
dc.identifier.issn1110-0168
dc.identifier.issue5en_US
dc.identifier.startpage3029en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5840
dc.identifier.volume59en_US
dc.language.isoenen_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInfection Diseases Modelen_US
dc.subjectLaplace Adomian Decompositionen_US
dc.subjectNumerical Simulationen_US
dc.subjectThe Caputo-Fabrizio Fractional Derivativeen_US
dc.titleOn modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition methodtr_TR
dc.titleOn Modelling of Epidemic Childhood Diseases With the Caputo-Fabrizio Derivative by Using the Laplace Adomian Decomposition Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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