Analysis of the model of HIV-1 infection of $CD4^{+}$ T-cell with a new approach of fractional derivative
Dumitru Bǎleanu, Hakimeh Mohammadi, Shahram Rezapour
Abstract
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.
Topics & Concepts
MathematicsUniquenessLaplace transformFractional calculusHomotopy analysis methodOrdinary differential equationApplied mathematicsHomotopyPartial differential equationDerivative (finance)Human immunodeficiency virus (HIV)Mathematical analysisDifferential equationPure mathematicsMedicineFamily medicineEconomicsFinancial economicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisAdvanced Differential Equations and Dynamical Systems