ANALYSIS OF FRACTIONAL ORDER DIARRHEA MODEL USING FRACTAL FRACTIONAL OPERATOR

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorYao, Shao-Wen
dc.contributor.authorAhniad, Aqui
dc.contributor.authorInc, Mustafa
dc.contributor.authorFarman, Muhammad
dc.contributor.authorGhaffar, Abdul
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:29:42Z
dc.date.available2024-12-24T19:29:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we construct a scheme of fractional-order mathematical model for the population infected by diarrhea disease by using the four compartments S, I, T and R. The fractal-fractional derivative operator (FFO) with generalized Mittag-Leffler kernel is employed to obtain the solution of the proposed system. The system is analyzed qualitatively as well as verify non-negative unique solution. The existence and uniqueness results of fractional-order model under Atangana-Baleanu fractal-fractional operator have been proved by fixed point theory. Also error analysis has been made for the proposed fractional-order model. Simulation has been carried out for derived fractional-order scheme to check the effectiveness of the results which will help, how to prevent and control such type of epidemic in society.
dc.description.sponsorshipNational Natural Science Foundation of China [71601072]; Key Scientific Research Project of Higher Education Institutions in Henan Province of China [20B110006]
dc.description.sponsorshipThis work was supported by National Natural Science Foundation of China (No. 71601072) and Key Scientific Research Project of Higher Education Institutions in Henan Province of China (No. 20B110006).
dc.identifier.doi10.1142/S0218348X22401739
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85133831671
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X22401739
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7211
dc.identifier.volume30
dc.identifier.wosWOS:000846027200006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectEpidemic Model
dc.subjectLipchitz Function
dc.subjectUlam-Hyres Stability
dc.subjectUniqueness
dc.subjectFractal Fractional Operator
dc.titleANALYSIS OF FRACTIONAL ORDER DIARRHEA MODEL USING FRACTAL FRACTIONAL OPERATOR
dc.typeArticle

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