Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The current manuscript describes the dynamics of a fractional mathematical model of serial killing under the Mittag-Leffler kernel. Using the fixed point theory approach, we present a qualitative analysis of the problem and establish a result that ensures the existence of at least one solution. Ulam's stability of the given model is presented by using nonlinear concepts. The iterative fractional-order Adams-Bashforth approach is being used to find the approximate solution. The suggested method is numerically simulated at various fractional orders. The simulation is carried out for various control strategies. Over time, all of the compartments demonstrate convergence and stability. Different fractional orders have produced an excellent comparison outcome, with low fractional orders achieving stability sooner.
Açıklama
Anahtar Kelimeler
Adams-Bashforth method, fixed point theory, serial killing, Mittag-Leffler kernel
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
6
Sayı
3
