On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Aydogn, Seher Melike | |
dc.contributor.author | Mohammadi, Hakimeh | |
dc.contributor.author | Rezapour, Shahram | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-11-10T10:47:28Z | |
dc.date.available | 2022-11-10T10:47:28Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
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 | en_US |
dc.description.publishedMonth | 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. | en_US |
dc.identifier.doi | 10.1016/j.aej.2020.05.007 | |
dc.identifier.endpage | 3039 | en_US |
dc.identifier.issn | 1110-0168 | |
dc.identifier.issue | 5 | en_US |
dc.identifier.startpage | 3029 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5840 | |
dc.identifier.volume | 59 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Alexandria Engineering Journal | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Infection Diseases Model | en_US |
dc.subject | Laplace Adomian Decomposition | en_US |
dc.subject | Numerical Simulation | en_US |
dc.subject | The Caputo-Fabrizio Fractional Derivative | en_US |
dc.title | On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method | tr_TR |
dc.title | On Modelling of Epidemic Childhood Diseases With the Caputo-Fabrizio Derivative by Using the Laplace Adomian Decomposition Method | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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