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SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels

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dc.contributor.author Jena, Rajarama Mohan
dc.contributor.author Chakraverty, Snehashish
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-12-16T12:03:27Z
dc.date.available 2022-12-16T12:03:27Z
dc.date.issued 2021-04
dc.identifier.citation Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru (2021). "SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels", Mathematics and Computers in Simulation, Vol. 182, pp. 514-534. tr_TR
dc.identifier.issn 0378-4754
dc.identifier.uri http://hdl.handle.net/20.500.12416/6006
dc.description.abstract Vaccination programs for infants have significantly affected childhood morbidity and mortality. The primary goal of health administrators is to protect children against diseases that can be prevented by vaccination. In this manuscript, we have applied the homotopy perturbation Elzaki transform method to obtain the solutions of the epidemic model of childhood diseases involving time-fractional order Atangana–Baleanu and Caputo–Fabrizio derivatives. The present method is the combination of the classical homotopy perturbation method and the Elzaki transform. Although Elzaki transform is an effective method for solving fractional differential equations, this method sometimes fails to handle nonlinear terms from the fractional differential equations. These difficulties may be overcome by coupling this transform with that of HPM. This method offers a rapidly convergent series solutions. Validation and usefulness of the technique are incorporated with new fractional-order derivatives with exponential decay law and with general Mittag-Leffler law. Obtained results are compared with the established solution defined in the Caputo sense. Further, a comparative study among Caputo, Atangana–Baleanu, and Caputo–Fabrizio derivatives is discussed. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.matcom.2020.11.017 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Atangana–Baleanu Operator tr_TR
dc.subject Caputo–Fabrizio Operator tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Perturbation Method tr_TR
dc.subject SIR Epidemic Model tr_TR
dc.subject Transform Method tr_TR
dc.title SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics and Computers in Simulation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 182 tr_TR
dc.identifier.startpage 514 tr_TR
dc.identifier.endpage 534 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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