Modeling and Analysis of Smokers Model with Constant Proportional Fractional Operators

Despite the existence of a secure environment, smoke subjection continues to be a leading cause of serious illness globally. For investigation and observation of the dynamical transmission of the smoker, we examine a fractional order smoker model with Constant Proportional Atangana-Baleanu (in Caputo sense) operator. We treated the proposed model’s positivity, boundedness, well-posedness and stability analysis of the model. There is a brief discussion of additional analysis on CPABC operators. Using the Laplace Adomian Decomposition Method, we simulate a system of fractional differential equations numerically. This model’s tools seem to be quite strong and capable of reproducing the issue’s anticipated theoretical conditions.