Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative.

Highlights • The leaving smoking model is analyzed with newly-defined Atangana–Baleanu derivative. • The existence and uniqueness of smoking model of solutions are obtained. • Numerical results related to smoking model are given for different fractional orders. • The obtained numerical results are compared to real world applications. Abstract This paper ensures meticulous mathematical study for analyzing the dynamics of smoking model and its public health with Atangana–Baleanu derivative. The existence and uniqueness problems to relevant model are examined via fixed point theory. The results are implemented by giving some illustrative graphics including the variation of fractional order. [ABSTRACT FROM AUTHOR]