Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives

Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives

In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators. A detailed proof for the existence and the uniqueness of the solution of fractional mathematical model of HIV-1 infection in A...

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Main Authors: Sara Salem Alzaid, Badr Saad T. Alkahtani, Shivani Sharma, Ravi Shanker Dubey
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6642957
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spelling doaj-b2b34fca73e04b7f99db6da84d2bd91a2021-04-05T00:01:43ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/6642957Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional DerivativesSara Salem Alzaid0Badr Saad T. Alkahtani1Shivani Sharma2Ravi Shanker Dubey3Department of MathematicsMathematics DepartmentDepartment of MathematicsDepartment of MathematicsIn this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators. A detailed proof for the existence and the uniqueness of the solution of fractional mathematical model of HIV-1 infection in Atangana-Baleanu sense is presented. Numerical approach is used to find and study the behavior of the solution of the stated model using different derivative operators, and the graphical comparison between the solutions obtained for the Caputo-Fabrizio and the Atangana-Baleanu operator is presented to see which fractional derivative operator is more efficient.http://dx.doi.org/10.1155/2021/6642957
collection DOAJ
language English
format Article
sources DOAJ
author Sara Salem Alzaid
Badr Saad T. Alkahtani
Shivani Sharma
Ravi Shanker Dubey
spellingShingle Sara Salem Alzaid
Badr Saad T. Alkahtani
Shivani Sharma
Ravi Shanker Dubey
Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
Journal of Function Spaces
author_facet Sara Salem Alzaid
Badr Saad T. Alkahtani
Shivani Sharma
Ravi Shanker Dubey
author_sort Sara Salem Alzaid
title Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
title_short Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
title_full Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
title_fullStr Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
title_full_unstemmed Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
title_sort numerical solution of fractional model of hiv-1 infection in framework of different fractional derivatives
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators. A detailed proof for the existence and the uniqueness of the solution of fractional mathematical model of HIV-1 infection in Atangana-Baleanu sense is presented. Numerical approach is used to find and study the behavior of the solution of the stated model using different derivative operators, and the graphical comparison between the solutions obtained for the Caputo-Fabrizio and the Atangana-Baleanu operator is presented to see which fractional derivative operator is more efficient.
url http://dx.doi.org/10.1155/2021/6642957
work_keys_str_mv AT sarasalemalzaid numericalsolutionoffractionalmodelofhiv1infectioninframeworkofdifferentfractionalderivatives
AT badrsaadtalkahtani numericalsolutionoffractionalmodelofhiv1infectioninframeworkofdifferentfractionalderivatives
AT shivanisharma numericalsolutionoffractionalmodelofhiv1infectioninframeworkofdifferentfractionalderivatives
AT ravishankerdubey numericalsolutionoffractionalmodelofhiv1infectioninframeworkofdifferentfractionalderivatives
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