Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy

The current manuscript describes the dynamics of a fractional mathematical model serial killing under Mittag–Leffler kernel. Using fixed point theory approach, we present qualitative analysis problem and establish result that ensures existence at least one solution. Ulam’s stability given is presented by using nonlinear concepts. iterative fractional-order Adams–Bashforth approach being used to find approximate suggested method numerically simulated various orders. simulation carried out for control strategies. Over time, all compartments demonstrate convergence stability. Different orders have produced an excellent comparison outcome, with low achieving sooner.