Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Mohammadi, Hakimeh | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.date.accessioned | 2021-02-02T11:40:01Z | |
| dc.date.available | 2021-02-02T11:40:01Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | By using the fractional Caputo-Fabrizio derivative, we investigate a new version for the mathematical model of HIV. In this way, we review the existence and uniqueness of the solution for the model by using fixed point theory. We solve the equation by a combination of the Laplace transform and homotopy analysis method. Finally, we provide some numerical analytics and comparisons of the results. | en_US |
| dc.description.sponsorship | Azarbaijan University of Shahid Madani; Miandoab Branch of Islamic Azad University | |
| dc.description.sponsorship | The research of the third author was supported by Azarbaijan University of Shahid Madani and the research of the second author was supported by Miandoab Branch of Islamic Azad University. The authors express their gratitude to dear unknown referees for their helpful suggestions which improved the final version of this paper. | |
| dc.description.sponsorship | Islamic Azad University, IAU; Azarbaijan Shahid Madani University | |
| dc.identifier.citation | Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram (2020). "Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02544-w | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.issn | 1687-1839 | |
| dc.identifier.scopus | 2-s2.0-85079456547 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/4526 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02544-w | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | |
| dc.relation.ispartof | Advances in Difference Equations | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Mathematical Model | en_US |
| dc.subject | Numerical Simulation | en_US |
| dc.subject | The Caputo-Fabrizio Derivation | en_US |
| dc.subject | The Caputo–Fabrizio Derivation | |
| dc.title | Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative | tr_TR |
| dc.title | Analysis of the Model of Hiv-1 Infection of Cd4(+) T-Cell With a New Approach of Fractional Derivative | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Rezapour, Shahram/0000-0003-3463-2607 | |
| gdc.author.id | mohammadi, hakimeh/0000-0002-7492-9782 | |
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| gdc.author.wosid | mohammadi, hakimeh/AAO-4225-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
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| gdc.description.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Mohammadi, Hakimeh] Islamic Azad Univ, Miandoab Branch, Dept Math, Miandoab, Iran; [Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Baleanu, Dumitru; Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
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| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | Family medicine | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Numerical simulation | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Human immunodeficiency virus (HIV) | |
| gdc.oaire.keywords | Fixed point | |
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| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Epidemiology | |
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| gdc.oaire.keywords | Caputo-Fabrizio derivation | |
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| gdc.oaire.keywords | Dynamical systems in biology | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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