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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6642957 |
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| author | Sara Salem Alzaid Badr Saad T. Alkahtani Shivani Sharma Ravi Shanker Dubey |
| author_facet | Sara Salem Alzaid Badr Saad T. Alkahtani Shivani Sharma Ravi Shanker Dubey |
| author_sort | Sara Salem Alzaid |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b2b34fca73e04b7f99db6da84d2bd91a |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b2b34fca73e04b7f99db6da84d2bd91a2025-02-03T01:05:27ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66429576642957Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional DerivativesSara Salem Alzaid0Badr Saad T. Alkahtani1Shivani Sharma2Ravi Shanker Dubey3Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaDepartment of Mathematics, AMITY School of Applied Science, AMITY University Rajasthan, Jaipur 302002, IndiaDepartment of Mathematics, AMITY School of Applied Science, AMITY University Rajasthan, Jaipur 302002, IndiaIn 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/6642957 |
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