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Analysis of the model of HIV-1 infection of $CD4^{+}$ T-cell with a new approach of fractional derivative

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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… Click to show full 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.

Keywords: hiv infection; model hiv; analysis model; model; cd4 cell; infection cd4

Journal Title: Advances in Difference Equations
Year Published: 2020

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