A fractional order age-specific smoke epidemic model.

• A new fractional order age-specific smoke epidemic model is proposed. • The Banach fixed point theorem and the Krasnoselskiis type are used to analyze the model's existence and uniqueness. • The Lagrange interpolation is used to obtain the desired solution analytically. This paper presents a nonlinear fractional mathematical model for the smoke epidemic that includes two age groups. To solve the smoke epidemic, the Atangana-Baleanu-Caputo fractional derivative is used. The Banach and Krasnoselskii type fixed point theorem is used to determine existence and uniqueness. We explored model stability using the Hyers-Ulam form of stability. Using Lagrange interpolation, the behaviour of the smoke epidemic of the 2-age group model is generated. The numerical simulation shows that the model has potential for both groups, and that age-specific interventions can be used to reduce smoking rates in the general population. [ABSTRACT FROM AUTHOR]