Fractional Order Operator for Symmetric Analysis of Cancer Model on Stem Cells with Chemotherapy

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dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridAzeem, Muhammad/0000-0001-5181-4221
dc.contributor.authorAzeem, Muhammad
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:33:47Z
dc.date.available2024-12-24T19:33:47Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractCancer is dangerous and one of the major diseases affecting normal human life. In this paper, a fractional-order cancer model with stem cells and chemotherapy is analyzed to check the effects of infection in individuals. The model is investigated by the Sumudu transform and a very effective numerical method. The positivity of solutions with the ABC operator of the proposed technique is verified. Fixed point theory is used to derive the existence and uniqueness of the solutions for the fractional order cancer system. Our derived solutions analyze the actual behavior and effect of cancer disease in the human body using different fractional values. Modern mathematical control with the fractional operator has many applications including the complex and crucial study of systems with symmetry. Symmetry analysis is a powerful tool that enables the user to construct numerical solutions of a given fractional differential equation in a fairly systematic way. Such an analysis will provide a better understanding to control the of cancer disease in the human body.
dc.description.sponsorshipBasque Government [IT1555-22, KK-2022/00090, PID2021-1235430B-C21, PID2021-1235430B-C22]; [MCIN/AEI 269.10.13039/501100011033]
dc.description.sponsorshipThis research was funded by Basque Government Grants: IT1555-22 and KK-2022/00090 and MCIN/AEI 269.10.13039/501100011033: Grant PID2021-1235430B-C21 and Grant PID2021-1235430B-C22.
dc.identifier.doi10.3390/sym15020533
dc.identifier.issn2073-8994
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85149218411
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15020533
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8291
dc.identifier.volume15
dc.identifier.wosWOS:000942047300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectcancer model
dc.subjectexistence
dc.subjectuniqueness
dc.subjectSumudu transform
dc.subjectfractional operator
dc.subjectAtangana-Toufik method
dc.titleFractional Order Operator for Symmetric Analysis of Cancer Model on Stem Cells with Chemotherapy
dc.typeArticle

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