Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

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

dc.contributor.authorJena, Rajarama Mohan
dc.contributor.authorChakraverty, Snehashish
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-12-16T12:03:27Z
dc.date.available2022-12-16T12:03:27Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractVaccination 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.en_US
dc.description.publishedMonth4
dc.identifier.citationJena, 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.en_US
dc.identifier.doi10.1016/j.matcom.2020.11.017
dc.identifier.endpage534en_US
dc.identifier.issn0378-4754
dc.identifier.startpage514en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6006
dc.identifier.volume182en_US
dc.language.isoenen_US
dc.relation.ispartofMathematics and Computers in Simulationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAtangana–Baleanu Operatoren_US
dc.subjectCaputo–Fabrizio Operatoren_US
dc.subjectFractional Calculusen_US
dc.subjectPerturbation Methoden_US
dc.subjectSIR Epidemic Modelen_US
dc.subjectTransform Methoden_US
dc.titleSIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernelstr_TR
dc.titleSir Epidemic Model of Childhood Diseases Through Fractional Operators With Mittag-Leffler and Exponential Kernelsen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: