Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives

Abstract

This work considers a generalized fuzzy fractional smoking model with Caputo [Formula: see text]-types fractional derivatives upon considering the case of uncertainty quantification. The disease-free equilibrium point and stability of the equilibrium point have been discussed for the fuzzy nonlinear fractional smoking model. The analytical proofs for the existence and uniqueness of the proposed model are concerned with the help of the fixed-point theorem, Banach contraction, and Schauder theorem. A robust double parametric approach with a generalized transform is used to study the behavior of the fuzzy fractional model in an uncertain context and obtain the convergence analysis of the study in a crisp context. Finally, the obtained results of the proposed model have been validated with the Runge–Kutta method of fourth order in crisp case [Formula: see text].