Mathematical analysis and simulation of a giving up smoking model within the scope of non-singular derivative

Abstract

Smoking has caused the illness and death of many people around the world for a long time. Therefore, many researchers have investigated many methods to quit smoking and reduce its use. In this paper, a smoking model with determination is first examined broadly with Caputo-Fabrizio derivative. We give the equilibrium points and their stability analysis for our fractional model. Taking advantage of fixed point theory, we give some solution properties for the fractional smoking model with determination. Our findings are highlighted by presenting some explanatory graphics.