In this work, we prove Ostrowski-Mercer inequalities for differentiable harmonically convex functions. It is also shown that the newly proved inequalities can be converted into some existing inequalities. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.

This paper deals with mathematical analysis of a generalized fractional alcoholic model. The present model is constructed by the Atangana-Baleanu fractional operator with the memory function, which is utilized for the generalization of alcoholic model. The used memory function provides the information on entire domain of model except the initial stage. The existence of solution is veried by Picard iterative method and uniqueness of solution is also proved.