Mathematical Evaluation and Dynamic Transmissions of a Cervical Cancer Model Using a Fractional Operator

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dc.authoridSingh, Rakhi/0009-0007-0956-686X
dc.contributor.authorSingh, Rakhi
dc.contributor.authorAkguel, Ali
dc.contributor.authorMishra, Jyoti
dc.contributor.authorGupta, Vijay Kumar
dc.date.accessioned2024-12-24T19:33:56Z
dc.date.available2024-12-24T19:33:56Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis scientific research investigates the fractional-order compartmental model of cervical cancer. The human papillomavirus (HPV) is responsible for the development of cervical cancer. The Caputo-Fabrizio fractional operator, which includes a section for treatment with antiretroviral drugs, is employed to examine this worldwide phenomenon. The mathematical model of cervical cancer that has been proposed recently is an extension of the integer-order model. The fractional derivative technique is a novel approach for these types of biological models. This paper employs fixed point theory to provide requirements for the existence, uniqueness, and stability of the fractional order cervical cancer model, utilizing the Caputo- Fabrizio operator. We have initially found an approximation solution to a proposed model via the iterative Laplace transform method, which is easily accessible. This approach integrates the Laplace transform technique with a reliable, novel iterative method. We evaluated parameters indicating the advancement of the illness and presented the numeric simulations. The observed outcomes indicate that a fractional factor has a crucial effect on controlling cervical cancer.
dc.description.sponsorshipWe are grateful to the anonymous reviewers for their helpful comments. We also thank the editors for their assistance in proofreading the final edition.
dc.identifier.doi10.37256/cm.5320244539
dc.identifier.endpage2667
dc.identifier.issn2705-1064
dc.identifier.issn2705-1056
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85200052233
dc.identifier.scopusqualityQ4
dc.identifier.startpage2646
dc.identifier.urihttps://doi.org/10.37256/cm.5320244539
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8331
dc.identifier.volume5
dc.identifier.wosWOS:001288459000004
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniversal Wiser Publisher
dc.relation.ispartofContemporary Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectcaputo-fabrizio fractional operator
dc.subjectcervical cancer model
dc.subjectlaplace transform method
dc.subjectfixed point theory
dc.titleMathematical Evaluation and Dynamic Transmissions of a Cervical Cancer Model Using a Fractional Operator
dc.typeArticle

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