Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative
Date
2020
Authors
Baleanu, Dumitru
Mohammadi, Hakimeh
Rezapour, Shahram
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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.
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Keywords
Fixed Point, Homotopy Analysis Method, Mathematical Model, Numerical Simulation, The Caputo-Fabrizio Derivation
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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.
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Source
Advances in Difference Equations
Volume
2020
Issue
1