On the fractal-fractional modelling of the smoking problem

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dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:30:04Z
dc.date.available2024-12-24T19:30:04Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe tobacco epidemic is an example of the most significant common health peril the world has ever suffered. Cancer-related lung throat and heart disease are the principal warnings because of smoking. The importance of this problem motivated us to model it in the frame of fractal fractional derivative. We use Atangana-Baleanu-Caputo operator. Moreover, to confirm that there is a solution for the proposed model, we apply the theorems of Schauder fixed point and Banach fixed. Also, to obtain the numerical solutions of the offered model Atangana-Toufik technique is applied. To show the performance of the used method for the considered problem, different values of fractal and fractional orders are chosen. Additionally, successful graphs of solutions are provided for each case.
dc.identifier.doi10.1504/IJANS.2022.130502
dc.identifier.endpage283
dc.identifier.issn1752-2862
dc.identifier.issn1752-2870
dc.identifier.issue4
dc.identifier.startpage267
dc.identifier.urihttps://doi.org/10.1504/IJANS.2022.130502
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7379
dc.identifier.volume3
dc.identifier.wosWOS:000979455300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherInderscience Enterprises Ltd
dc.relation.ispartofInternational Journal of Applied Nonlinear Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectnumerical method
dc.subjectAtanagan-Toufik technique
dc.subjectfractional smoking epidemic model
dc.titleOn the fractal-fractional modelling of the smoking problem
dc.typeArticle

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