A Fractional Differential Equation Model for the Covid-19 Transmission by Using the Caputo-Fabrizio Derivative
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
Yes
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No
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Top 0.1%
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Top 1%
Abstract
We present a fractional-order model for the COVID-19 transmission with Caputo-Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative.
Description
Mohammadi, Hakimeh/0000-0002-7492-9782; Rezapour, Shahram/0000-0003-3463-2607
Keywords
Fixed Point, Homotopy Analysis Method, Mathematical Model, Numerical Simulation, Caputo-Fabrizio Derivative, Financial economics, Laplace transform, Economics, Fractional Order Control, Numerical simulation, Mathematical analysis, Caputo–Fabrizio derivative, Convergence Analysis of Iterative Methods for Nonlinear Equations, Mathematical model, Engineering, Differential equation, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Analysis and Design of Fractional Order Control Systems, Numerical Analysis, Time-Fractional Diffusion Equation, Research, Fractional calculus, Pure mathematics, Partial differential equation, Fixed point, Applied mathematics, Fractional Derivatives, Homotopy analysis method, Control and Systems Engineering, Modeling and Simulation, Derivative (finance), Physical Sciences, Homotopy, Mathematics, Ordinary differential equation, Epidemiology, Caputo-Fabrizio derivative, Fractional ordinary differential equations, Fractional derivatives and integrals, homotopy analysis method, Dynamical systems in biology, fixed point, numerical simulation, mathematical model
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, Dumitru...at all (2020). "A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
146
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 39
Scopus : 181
PubMed : 61
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Mendeley Readers : 78
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