Tuberculosis is among the infectious diseases that kill human beings worldwide. This paper
proposes a fractional order tuberculosis model that studies the dynamics of the disease. The operator
considered here is the Atangana-Baleanu one in the Caputo sense. This is to include into the formulation
of the model the effect of nonlocal fading memory. The existence and uniqueness of solution of the model
is extensively studied. A numerical scheme is established based on the product-integration (PI) rule, which
is used to solve the fractional model