Fractional Order Glucose Insulin Model with Generalized Mittag-Leffler Kernel

Authors

Ali Akgül, Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey\\ Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, IndiaFollow
Muhammad Farman, Department of Mathematics and Statistics, The University of Lahore, Lahore, PakistanFollow
Aqeel Ahmad, Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, TurkeyFollow
Adnan Khan, Department of Mathematics, National College of Business Administration and Economics, Lahore, PakistanFollow
Siraj Zahran, Jeddah College of Engineering, University of Business and Technology, Jeddah 21432, Saudi ArabiaFollow
Wasan Shakir Awad, College of Information Technology, Ahlia University, Kingdom of BahrainFollow

Author Country (or Countries)

India

Abstract

In this paper, We formulate a fractional-order mathematical model for the populations of diabetic patients consist three- compartment G, X, and I. Diabetes Model is investigated with fractal-fractional operator for normal and type-1 diabetes. Also, the deterministic mathematical model for diabetes mellitus is investigated with the effect of the fractional parameters. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease for type-1 diabetes. The existence and uniqueness results of the fractional-order model are derived using fixed point theory. Simulation has been made for developed solutions of fractional order diabetes model to check the actual behavior of a normal person as well as a type-1 diabetes patient.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170219

Recommended Citation

Akgül, Ali; Farman, Muhammad; Ahmad, Aqeel; Khan, Adnan; Zahran, Siraj; and Shakir Awad, Wasan (2023) "Fractional Order Glucose Insulin Model with Generalized Mittag-Leffler Kernel," Applied Mathematics & Information Sciences: Vol. 17: Iss. 2, Article 19.
DOI: http://dx.doi.org/10.18576/amis/170219
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss2/19