  We investigate, through a fractional mathematical model, the effects of
physical distance on the SARS-CoV-2 virus transmission. Two controls are
considered in our model for eradication of the spread of COVID-19: media
education, through campaigns explaining the importance of social distancing,
use of face masks, etc., towards all population, while the second one is
quarantine social isolation of the exposed individuals. A general fractional
order optimal control problem, and associated optimality conditions of
Pontryagin type, are discussed, with the goal to minimize the number of
susceptible and infected while maximizing the number of recovered. The
extremals are then numerically obtained.
