Comparative Study of the Fractional-Order Crime System as a Social Epidemic of the USA Scenario
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Fractional 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.
Açıklama
Anahtar Kelimeler
Crime model, Fractional calculus, Fractional derivatives, Lagrange interpolation, Numerical method
Kaynak
International Journal of Applied and Computational Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
8
Sayı
4
