Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome
The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by antiviral drug therapy, making it an accurate...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972100070X |
| _version_ | 1819142788519821312 |
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| author | Mostafa M.A. Khater A. El-Sayed Ahmed M.A. El-Shorbagy |
| author_facet | Mostafa M.A. Khater A. El-Sayed Ahmed M.A. El-Shorbagy |
| author_sort | Mostafa M.A. Khater |
| collection | DOAJ |
| description | The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by antiviral drug therapy, making it an accurate mathematical model to predict the evolution of dynamic population systems involving virus particles. The modified Khater (MKhat), sech–tanh expansion (STE), extended simplest equation (ESE) methods are handled the fractional system and obtained many novel solutions. The Hamiltonian system’s characterizations are used to investigate the stability property of the obtained solutions. Additionally, the solutions are sketched in two-dimensional to demonstrate a visual representation of the relationship between variables. |
| first_indexed | 2024-12-22T12:15:55Z |
| format | Article |
| id | doaj.art-f1f14d5ff18e422a9678bba64faaf992 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-22T12:15:55Z |
| publishDate | 2021-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-f1f14d5ff18e422a9678bba64faaf9922022-12-21T18:26:09ZengElsevierResults in Physics2211-37972021-03-0122103890Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndromeMostafa M.A. Khater0A. El-Sayed Ahmed1M.A. El-Shorbagy2Department of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, China; Department of Mathematics, Obour High Institute For Engineering and Technology, 11828 Cairo, Egypt; Corresponding author.Mathematics Department, Faculty of Science, Taif University P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia; Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, EgyptThe computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by antiviral drug therapy, making it an accurate mathematical model to predict the evolution of dynamic population systems involving virus particles. The modified Khater (MKhat), sech–tanh expansion (STE), extended simplest equation (ESE) methods are handled the fractional system and obtained many novel solutions. The Hamiltonian system’s characterizations are used to investigate the stability property of the obtained solutions. Additionally, the solutions are sketched in two-dimensional to demonstrate a visual representation of the relationship between variables.http://www.sciencedirect.com/science/article/pii/S221137972100070X35Q9237N2535C0735C0835B35 |
| spellingShingle | Mostafa M.A. Khater A. El-Sayed Ahmed M.A. El-Shorbagy Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome Results in Physics 35Q92 37N25 35C07 35C08 35B35 |
| title | Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome |
| title_full | Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome |
| title_fullStr | Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome |
| title_full_unstemmed | Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome |
| title_short | Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome |
| title_sort | abundant stable computational solutions of atangana baleanu fractional nonlinear hiv 1 infection of cd4 t cells of immunodeficiency syndrome |
| topic | 35Q92 37N25 35C07 35C08 35B35 |
| url | http://www.sciencedirect.com/science/article/pii/S221137972100070X |
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