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New Coronavirus (2019-nCov) Mathematical Model Using Piecewise Hybrid Fractional Order Derivatives; Numerical Treatments

Author

Listed:
  • Nasser H. Sweilam

    (Mathematics Department, Faculty of Science, Cairo University, Giza 12613, Egypt)

  • Seham M. AL-Mekhlafi

    (Mathematics Department, Faculty of Education, Sana’a University, Sana’a P.O. Box 1247, Yemen
    Department of Engineering Mathematics and Physics, Future University in Egypt, Cairo 11835, Egypt)

  • Saleh M. Hassan

    (Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt)

  • Nehaya R. Alsenaideh

    (Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt)

  • Abdelaziz Elazab Radwan

    (Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt)

Abstract

A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, in order to be consistent with the physical model problem, a new parameter μ is presented. The boundedness, existence, and positivity of the solutions for the proposed model are discussed. Two improved numerical methods are presented in this paper. The Caputo proportional constant nonstandard modified Euler–Maruyama method is introduced to study the fractional stochastic model, and the Grünwald–Letnikov nonstandard finite difference method is presented to study the hybrid fractional order deterministic model. Comparative studies with real data from Spain and Wuhan are presented.

Suggested Citation

  • Nasser H. Sweilam & Seham M. AL-Mekhlafi & Saleh M. Hassan & Nehaya R. Alsenaideh & Abdelaziz Elazab Radwan, 2022. "New Coronavirus (2019-nCov) Mathematical Model Using Piecewise Hybrid Fractional Order Derivatives; Numerical Treatments," Mathematics, MDPI, vol. 10(23), pages 1-18, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4579-:d:992204
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    References listed on IDEAS

    as
    1. Sweilam, N.H. & AL - Mekhlafi, S.M. & Baleanu, D., 2021. "A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Atangana, Abdon & İğret Araz, Seda, 2021. "New concept in calculus: Piecewise differential and integral operators," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
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    Cited by:

    1. Hamzeh Zureigat & Mohammed Al-Smadi & Areen Al-Khateeb & Shrideh Al-Omari & Sharifah Alhazmi, 2023. "Numerical Solution for Fuzzy Time-Fractional Cancer Tumor Model with a Time-Dependent Net Killing Rate of Cancer Cells," IJERPH, MDPI, vol. 20(4), pages 1-13, February.

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