Mathematical Analysis of Fractional Order Diarrhea Model

Basit Öğe Kaydı
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgül, Ali
dc.contributor.authorNissar, Kottakkaran Sooppy
dc.contributor.authorAbdel-Aty, Abdel-Haleem
dc.date.accessioned2024-12-24T19:10:19Z
dc.date.available2024-12-24T19:10:19Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the Diarrhea system is analyzed to construct a scheme for the fractional-order mathematical model to see the actual behavior within the bounded domain. The fractional-order Diarrhea model is investigated with the Atangana-Toufik method. Different effects of Diarrhea in the system are presented to specify the dynamic nature of diarrhoea disease for different fractional values. Fixed point theory is used to derive the existence and unique solutions of the fractional order Diarrhea system. Positivity and boundedness for the proposed system are verified. The Atangana-Toufik method is an advanced category of fractional derivative which is used to obtain the bounded solution of the proposed system with a generalized Mittag-Leffler kernel. Simulations are derived for the proposed scheme to check the effectiveness of the results and to understand the effects of Diarrhea disease in society. Future predictions can also be easily made from the justified results obtained. The proposed system is also analyzed by using different fractional values to see the continuous monitoring of diarrhea disease. © 2023 NSP Natural Sciences Publishing Cor.
dc.description.sponsorshipUniversity of Bisha, UB
dc.identifier.doi10.18576/pfda/09S105
dc.identifier.endpage58
dc.identifier.issn2356-9336
dc.identifier.scopus2-s2.0-85180182129
dc.identifier.scopusqualityQ2
dc.identifier.startpage41
dc.identifier.urihttps://doi.org10.18576/pfda/09S105
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4029
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNatural Sciences Publishing
dc.relation.ispartofProgress in Fractional Differentiation and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectEpidemic model
dc.subjectError Analysis
dc.subjectFractional operator
dc.subjectQualitative analysis
dc.titleMathematical Analysis of Fractional Order Diarrhea Model
dc.typeArticle

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu