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

作　　者：Lalchand Verma Ramakanta Mehert 

机构地区：[1]Department of Mathematics&Humanities S.V.National Institute of Technology,Surat-395007,India

出　　处：《International Journal of Biomathematics》2024年第4期151-194,共44页生物数学学报（英文版）

摘　　要：This work considers a generalized fuzzy fractional smoking model with Caputo gHtypes 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(s=1,l=O).

关 键 词：Caputo fractional derivative triangular fuzzy number smoking model q-HAShTM convergence analysis 

分 类 号：O17[理学—数学]