Study of Bergman's minimal blood glucose-insulin model by adomian decomposition method. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Jain, Rinku; Arekar, Kirti; Shanker Dubey, Ravi
• Is Part Of: Journal of information & optimization sciences. Volume 38:Issue 1(2017)
• Page Start: 133
• Page End: 149
• Publication Date: 2017-01-02
• Subjects: Bergman's minimal model -- Adomian decomposition method -- He's polynomials -- Fractional differential equation; 26A33 -- 33E12 -- 35A22 -- 35R11; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2016.1187919
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: In this paper, we discuss the solution of Bergman's minimal model of fractional order, used to describe blood glucose and insulin metabolism by Adomian decomposition method (ADM). Numerical simulations show that the approximate solutions are indeed continuous functions of fractional derivatives. In addition, the calculations involved in ADM are very simple and straightforward.