Solution of Modified Bergman Minimal Blood Glucose-Insulin Model Using Caputo-Fabrizio Fractional Derivative

作     者：Ravi Shanker Dubey Dumitru Baleanu Manvendra Narayan Mishra Pranay Goswami 

作者机构：Department of MathematicsAMITY School of Applied ScienceAMITY University RajasthanJaipur302022India Department of Mathematics and Computer SciencesCankaya UniversityBalgat06530Turkey Institute of Space SciencesMagurele-BucharestR76900Romania School of Liberal StudiesDr.B.R.Ambedkar University DelhiDelhi110006India 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2021年第128卷第9期

页      面：1247-1263页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Bergman minimal model blood glucose Caputo-Fabrizio fractional derivative uniqueness and existence fractional calculus 

摘      要：Diabetes is a burning issue in the whole *** is the imbalance between body glucose and *** study of this imbalance is very much needed from a research point of *** this reason,Bergman gave an important model named-Bergman *** the present work,using Caputo-Fabrizio(CF)fractional derivative,we generalize Bergman’s minimal blood glucose-insulin ***,we modify the old model by including one more component known as diet D(t),which is also essential for the blood glucose *** solve the modified modelwith the help of Sumudu transformand fixed-point iteration ***,using the fixed point theorem,we examine the existence and uniqueness of the results along with their numerical and graphical ***,the comparison between the values of parameters obtained by calculating different values of t with experimental data is also ***,we draw the graphs of G(t),X(t),I(t),andD(t)for different values ofτ.It is also clear from the obtained results and their graphical representation that the obtained results of modified Bergman’s minimal model are better than Bergman’s model.