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Sweilam NH, Al-Mekhlafi SM, Baleanu D. A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model. Chaos Solitons Fractals. 2021;145:110762doi: 10.1016/j.chaos.2021.110762.
Sweilam, N. H., Al-Mekhlafi, S. M., & Baleanu, D. (2021). A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model. Chaos, solitons, and fractals, 145110762. https://doi.org/10.1016/j.chaos.2021.110762
Sweilam, N H, et al. "A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model." Chaos, solitons, and fractals vol. 145 (2021): 110762. doi: https://doi.org/10.1016/j.chaos.2021.110762
Sweilam NH, Al-Mekhlafi SM, Baleanu D. A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model. Chaos Solitons Fractals. 2021 Apr;145:110762. doi: 10.1016/j.chaos.2021.110762. Epub 2021 Feb 10. PMID: 33589855; PMCID: PMC7874938.
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Chaos Solitons Fractals. 2021 Apr;145:110762. doi: 10.1016/j.chaos.2021.110762. Epub 2021 Feb 10.

A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model.

Chaos, solitons, and fractals

N H Sweilam, S M Al-Mekhlafi, D Baleanu

Affiliations

  1. Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt.
  2. Sana'a University, Faculty of Education, Department of Mathematics, Yemen.
  3. Institute of Space Sciences, Magurele-Bucharest, Romania.

PMID: 33589855 PMCID: PMC7874938 DOI: 10.1016/j.chaos.2021.110762

Abstract

In this paper, a new stochastic fractional Coronavirus (2019-nCov) model with modified parameters is presented. The proposed stochastic COVID-19 model describes well the real data of daily confirmed cases in Wuhan. Moreover, a novel fractional order operator is introduced, it is a linear combination of Caputo's fractional derivative and Riemann-Liouville integral. Milstein's higher order method is constructed with the new fractional order operator to study the model problem. The mean square stability of Milstein algorithm is proved. Numerical results and comparative studies are introduced.

© 2021 Elsevier Ltd. All rights reserved.

Keywords: Hybrid fractional operator; Milstein’s method; Stochastic fractional model

Conflict of interest statement

The authors have declared no conflict of interest.

References

  1. Math Biosci. 2002 Nov-Dec;180:29-48 - PubMed
  2. Math Biosci Eng. 2020 Mar 16;17(4):2792-2804 - PubMed

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