Analysis of the model of HIV-1 infection of $CD4^{+}$ T-cell with a new approach of fractional derivative-Reference-Cited by-同舟云学术

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

Published:2020-02-13 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Baleanu Dumitru,Mohammadi Hakimeh,Rezapour Shahram^ORCID

Abstract

AbstractBy 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-020-02544-w.pdf

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