Fractional‐order smoking model: A dynamic analysis including many types of habitual smokers

Abstract The fractional‐order Atangana–Baleanu in Caputo sense fractional derivative (ABC) approach to the smoking illness model, which covers the impacts of externally and internally affected smokers on smoking, is introduced in this work. The model's authenticity has been investigated further in terms of its benefits and drawbacks. Model solution systems constructed using fixed point theory and repeated techniques are present and distinctive. The suggested approach was used to do numerical simulations to show the consequences of partial layout modifications and to back up theoretical conclusions.