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

Baleanu, Dumitru; Aydogn, Seher Melike; Mohammadi, Hakimeh; Rezapour, Shahram

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