A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative

Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram

dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Mohammadi, Hakimeh
dc.contributor.author	Rezapour, Shahram
dc.date.accessioned	2021-01-05T11:38:36Z
dc.date.available	2021-01-05T11:38:36Z
dc.date.issued	2020-06-18
dc.identifier.citation	Baleanu, Dumitru...at all (2020). "A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative", Advances in Difference Equations, Vol. 2020, No. 1.	tr_TR
dc.identifier.issn	1687-1847
dc.identifier.uri	http://hdl.handle.net/20.500.12416/4433
dc.description.abstract	We present a fractional-order model for the COVID-19 transmission with Caputo-Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1186/s13662-020-02762-2	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fixed Point	tr_TR
dc.subject	Homotopy Analysis Method	tr_TR
dc.subject	Mathematical Model	tr_TR
dc.subject	Numerical Simulation	tr_TR
dc.subject	Caputo-Fabrizio Derivative	tr_TR
dc.title	A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Advances in Difference Equations	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	2020	tr_TR
dc.identifier.issue	1	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR