Analysis of the model of HIV-1 infection of CD4(+) T-cell with a new approach of fractional derivative
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Date
2020
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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.
Description
Keywords
Fixed Point, Homotopy Analysis Method, Mathematical Model, Numerical Simulation, The Caputo-Fabrizio Derivation, Financial economics, Family medicine, Laplace transform, Economics, Numerical simulation, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Mathematical model, Differential equation, The Caputo–Fabrizio derivation, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Fractional calculus, Pure mathematics, Partial differential equation, Human immunodeficiency virus (HIV), Fixed point, Applied mathematics, Fractional Derivatives, Homotopy analysis method, Modeling and Simulation, Derivative (finance), Physical Sciences, Medicine, Geometry and Topology, Uniqueness, Homotopy, Mathematics, Ordinary differential equation, Epidemiology, Fractional ordinary differential equations, Fractional derivatives and integrals, Caputo-Fabrizio derivation, homotopy analysis method, Dynamical systems in biology, fixed point, numerical simulation, mathematical model
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering
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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OpenCitations Citation Count
195
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 131
Scopus : 252
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Mendeley Readers : 20
