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Entropy 2017, 19(5), 114; doi:10.3390/e19050114

The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model

1
Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia
2
Department of Mathematics, Yagyavalkya Institute of Technology, Jaipur 302035, India
3
School of Liberal Studies, Ambedkar University Delhi, Delhi 110006, India
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Received: 21 January 2017 / Revised: 4 March 2017 / Accepted: 9 March 2017 / Published: 2 May 2017
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory II)
View Full-Text   |   Download PDF [283 KB, uploaded 2 May 2017]   |  

Abstract

In the present paper, we use analytical techniques to solve fractional nonlinear differential equations systems that arise in Bergman’s minimal model, used to describe blood glucose and insulin metabolism, after intravenous tolerance testing. We also discuss the stability and uniqueness of the solution. View Full-Text
Keywords: Bergman’s minimal model; Caputo–Fabrizio fractional derivative; fractional differential equation; Sumudu transform Bergman’s minimal model; Caputo–Fabrizio fractional derivative; fractional differential equation; Sumudu transform
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Alkahtani, B.S.; Algahtani, O.J.; Dubey, R.S.; Goswami, P. The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model. Entropy 2017, 19, 114.

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