A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
Date
2020
Authors
Baleanu, Dumitru
Mohammadi, Hakimeh
Rezapour, Shahram
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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.
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Keywords
Fixed Point, Homotopy Analysis Method, Mathematical Model, Numerical Simulation, Caputo-Fabrizio Derivative
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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.
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Source
Advances in Difference Equations
Volume
2020
Issue
1