  Research focus on optimal control problems brought on by fractional
differential equations has been extensively applied in practice. However,
because they are still open-ended and challenging, a number of problems with
fractional mathematical modeling and problems with optimal control require
additional study. Using fractional-order derivatives defined in the Atangana
Baleanu Caputo sense, we alter the integer-order model that has been proposed
in the literature. We prove the solution's existence, uniqueness, equilibrium
points, fundamental reproduction number, and local stability of the equilibrium
points. The operator's numerical approach was put into practice to obtain a
numerical simulation to back up the analytical conclusions. Fractional optimum
controls were incorporated into the model to identify the most efficient
intervention strategies for controlling the disease. Utilizing actual data from
Ghana for the months of March 2020 to March 2021, the model is validated. The
simulation's results show that the fractional operator significantly affected
each compartment and that the incidence rate of the population rose when v>0.6.
The examination of the most effective control technique discovered that social
exclusion and vaccination were both very effective methods for halting the
development of the illness.
