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

Nasser H. Sweilam (), Seham M. AL-Mekhlafi, Saleh M. Hassan, Nehaya R. Alsenaideh and Abdelaziz Elazab Radwan
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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
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

Mathematics, 2022, vol. 10, issue 23, 1-18

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.

Keywords: piecewise numerical methods; hybrid fractional coronavirus (2019-nCov) mathematical models; nonstandard fractional Euler–Maruyama technique; fractional stochastic–deterministic models; Grünwald–Letnikov nonstandard finite difference method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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