Epidemiological analysis of fractional order COVID-19 model with Mittag-Leffler kernel

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dc.authoridSaleel, C Ahamed/0000-0003-3705-4371
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorAhmad, Dilshad
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorKamangar, Sarfaraz
dc.contributor.authorSaleel, C. Ahamed
dc.date.accessioned2024-12-24T19:33:59Z
dc.date.available2024-12-24T19:33:59Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper derived fractional derivatives with Atangana-Baleanu, Atangana-Toufik scheme and fractal fractional Atangana-Baleanu sense for the COVID-19 model. These are advanced techniques that provide effective results to analyze the COVID-19 outbreak. Fixed point theory is used to derive the existence and uniqueness of the fractional-order model COVID-19 model. We also proved the property of boundedness and positivity for the fractional-order model. The Atangana-Baleanu technique and Fractal fractional operator are used with the Sumudu transform to find reliable results for fractional order COVID-19 Model. The generalized Mittag-Leffler law is also used to construct the solution with the different fractional operators. Numerical simulations are performed for the developed scheme in the range of fractional order values to explain the effects of COVID-19 at different fractional values and justify the theoretical outcomes, which will be helpful to understand the outbreak of COVID-19 and for control strategies.
dc.description.sponsorshipInstitute of Research and Consulting Studies at King Khalid University [35-69-S-2020]
dc.description.sponsorshipThe authors are thankful to the Institute of Research and Consulting Studies at King Khalid University for supporting this research through grant number #35-69-S-2020.
dc.identifier.doi10.3934/math.2022046
dc.identifier.endpage783
dc.identifier.issn2473-6988
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85117065638
dc.identifier.scopusqualityQ1
dc.identifier.startpage756
dc.identifier.urihttps://doi.org/10.3934/math.2022046
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8372
dc.identifier.volume7
dc.identifier.wosWOS:000718878200038
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCOVID-19
dc.subjectSumudu transform
dc.subjectABC derivative
dc.subjectfractal operator
dc.subjectstability and uniqueness
dc.subjectMittag-Leffler law
dc.titleEpidemiological analysis of fractional order COVID-19 model with Mittag-Leffler kernel
dc.typeArticle

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