Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative

Baleanu, DumitruMohammadi, HakimehRezapour, Shahram2021-02-022021-02-022020Baleanu, 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. 1.1687-1847http://hdl.handle.net/20.500.12416/4526By 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.eninfo:eu-repo/semantics/openAccessFixed PointHomotopy Analysis MethodMathematical ModelNumerical SimulationThe Caputo-Fabrizio DerivationAnalysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivativeAnalysis of the Model of Hiv-1 Infection of Cd4(+) T-Cell With a New Approach of Fractional DerivativeArticle2020110.1186/s13662-020-02544-w