Article
Numerical approximation for the spread of SIQR model with Caputo fractional order derivative
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Abstract
In our paper, the spread of SIQR model with fractional order differential equation is considered. We have evaluated the system with fractional way and investigated stability of the non-virus equilibrium point and virus equilibrium points. Also, the existence of the solutions are proved. Finally, the efficient numerical method for finding solutions of system is given.
Keywords
Fractional order differential equations, SIQR model, stability, existence and uniqueness.
Citation
Koca, I., Akcetin, E., & Yaprakdal, P. (2020). Numerical approximation for the spread of SIQR model with caputo fractional order derivative. Turkish Journal of Science, 5(2), 124–139. https://doi.org/10.66833/TJOS-2020-0015
I. Koca, E. Akcetin and P. Yaprakdal, “Numerical approximation for the spread of SIQR model with caputo fractional order derivative,” Turkish Journal of Science, vol. 5, no. 2, pp. 124–139, 2020, doi: 10.66833/TJOS-2020-0015.
Koca I, Akcetin E, Yaprakdal P. Numerical approximation for the spread of SIQR model with caputo fractional order derivative. Turkish Journal of Science. 2020;5(2):124–139. doi:10.66833/TJOS-2020-0015.
Koca, I., Akcetin, E. and Yaprakdal, P. (2020), ‘Numerical approximation for the spread of SIQR model with caputo fractional order derivative’, Turkish Journal of Science, 5(2), pp. 124–139. Available at: https://doi.org/10.66833/TJOS-2020-0015.
Koca, Ilknur, et al. “Numerical Approximation for the Spread of SIQR Model with Caputo Fractional Order Derivative.” Turkish Journal of Science, vol. 5, no. 2, 2020, pp. 124–139. https://doi.org/10.66833/TJOS-2020-0015.
Koca, Ilknur, Eyup Akcetin, and Pelin Yaprakdal. “Numerical Approximation for the Spread of SIQR Model with Caputo Fractional Order Derivative.” Turkish Journal of Science 5, no. 2 (2020): 124–139. https://doi.org/10.66833/TJOS-2020-0015.
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Published by: Engineering Journals
