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.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.uri | https://hdl.handle.net/20.500.12416/4526 | |
| dc.language.iso | en | en_US |
| 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.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.description.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.volume | 2020 | en_US |
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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 | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Mathematical model | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | The Caputo–Fabrizio derivation | |
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| gdc.oaire.keywords | Bifurcations in Planar Polynomial Systems | |
| 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 | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Homotopy analysis method | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Derivative (finance) | |
| gdc.oaire.keywords | Physical Sciences | |
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| gdc.oaire.keywords | Geometry and Topology | |
| gdc.oaire.keywords | Uniqueness | |
| gdc.oaire.keywords | Homotopy | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Epidemiology | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Caputo-Fabrizio derivation | |
| gdc.oaire.keywords | homotopy analysis method | |
| gdc.oaire.keywords | Dynamical systems in biology | |
| gdc.oaire.keywords | fixed point | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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