Dynamical Behaviour of a Fractional-order SEIB Model

In this study, we first take the integer order model and then extend it using the fractional operator due to the benefits of the fractional derivative. Next, we discuss the SEIB model in a fractional framework with the Atangana-Baleanu-Caputo derivative and examine its dynamics. The existence and uniqueness of model solutions are investigated using fixed-point theory. After that, we apply the fractal-fractional notation with the Atangana-Baleanu derivative to the SEIB model and find that it has a unique solution. Different fractal and fractional order values are used to depict graphical representations. We also compare the considered operators using two distinct numerical schemes with various fractional order values. Further we conclude the fractal-fractional technique is superior to the fractional operator.