Comparative Study of the Fractional-Order Crime System as a Social Epidemic of the USA Scenario

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dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorKumar, Vijay
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:14Z
dc.date.available2024-12-24T19:10:14Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractFractional derivatives are considered significant mathematical tools to design the fractional-order models of real phenomena. In this investigation, we are going to design and compare the non-integer models of the crime system by using three fractional-order operators called Atangana-Baleanu-Caputo, Caputo, and Caputo-Fabrizio derivatives for the first time. We use the real initial conditions for the subgroups of USA. To get the approximate solutions of the suggested models some numerical methods are derived. To see the performance of the numerical methods different values of the fractional orders are considered. The differences between the solutions under the used operators for each state variable are provided through some figures. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
dc.identifier.doi10.1007/s40819-022-01399-x
dc.identifier.issn2349-5103
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85134424898
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org10.1007/s40819-022-01399-x
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4015
dc.identifier.volume8
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofInternational Journal of Applied and Computational Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCrime model
dc.subjectFractional calculus
dc.subjectFractional derivatives
dc.subjectLagrange interpolation
dc.subjectNumerical method
dc.titleComparative Study of the Fractional-Order Crime System as a Social Epidemic of the USA Scenario
dc.typeArticle

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