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

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

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 solut...

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Main Authors: Badr S. Alkahtani, Obaid J. Algahtani, Ravi S. Dubey, Pranay Goswami
Format: Article
Language:English
Published: MDPI AG 2017-05-01
Series:Entropy
Subjects:
Bergman’s minimal model
Caputo–Fabrizio fractional derivative
fractional differential equation
Sumudu transform
Online Access:http://www.mdpi.com/1099-4300/19/5/114
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spelling doaj-180ca38ab7634a53bad40f7230ec515a2020-11-24T20:58:02ZengMDPI AGEntropy1099-43002017-05-0119511410.3390/e19050114e19050114The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin ModelBadr S. Alkahtani0Obaid J. Algahtani1Ravi S. Dubey2Pranay Goswami3Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi ArabiaMathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi ArabiaDepartment of Mathematics, Yagyavalkya Institute of Technology, Jaipur 302035, IndiaSchool of Liberal Studies, Ambedkar University Delhi, Delhi 110006, IndiaIn 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.http://www.mdpi.com/1099-4300/19/5/114Bergman’s minimal modelCaputo–Fabrizio fractional derivativefractional differential equationSumudu transform
collection DOAJ
language English
format Article
sources DOAJ
author Badr S. Alkahtani
Obaid J. Algahtani
Ravi S. Dubey
Pranay Goswami
spellingShingle Badr S. Alkahtani
Obaid J. Algahtani
Ravi S. Dubey
Pranay Goswami
The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
Entropy
Bergman’s minimal model
Caputo–Fabrizio fractional derivative
fractional differential equation
Sumudu transform
author_facet Badr S. Alkahtani
Obaid J. Algahtani
Ravi S. Dubey
Pranay Goswami
author_sort Badr S. Alkahtani
title The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
title_short The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
title_full The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
title_fullStr The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
title_full_unstemmed The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model
title_sort solution of modified fractional bergman’s minimal blood glucose-insulin model
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2017-05-01
description 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.
topic Bergman’s minimal model
Caputo–Fabrizio fractional derivative
fractional differential equation
Sumudu transform
url http://www.mdpi.com/1099-4300/19/5/114
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