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

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 homot...

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Bibliographic Details
Published in:Advances in difference equations 2020-02, Vol.2020 (1), Article 71
Main Authors: Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Fixed points (mathematics)
Functional Analysis
HIV
Human immunodeficiency virus
Laplace transforms
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02544-w