Fractional study of the Covid-19 model with different types of transmissions

Mohammad Partohaghighi; Ali Akgül

doi:10.1016/j.kjs.2023.02.021

Fractional study of the Covid-19 model with different types of transmissions

Kuwait J Sci. 2023 Apr;50(2):153-162. doi: 10.1016/j.kjs.2023.02.021. Epub 2023 Apr 20.

Authors

Mohammad Partohaghighi¹, Ali Akgül^{2

3

4}

Affiliations

¹ Department of Mathematics, Clarkson University Potsdam, NY 13699, USA.
² Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
³ Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey.
⁴ Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia /Mersin 10, Turkey.

Abstract

We investigate a mathematical system of the recent COVID-19 disease focusing particularly on the transmissibility of individuals with different types of signs under the Caputo fractional derivative. To get the approximate solutions of the fractional order system we employ the fractional-order Alpert multiwavelet(FAM). The fractional operational integration matrix of Riemann-Liouville (RLFOMI) employing the FAM functions is considered. The origin system will be transformed into a system of algebraic equations. Also, an error estimation of the supposed scheme is considered. Satisfactory results are gained under various values of fractional order with the chosen initial conditions (ICs).

Keywords: Caputo derivative; Fractional COVID-19 disease; Fractional-order Alpert multiwavelets; Mathematical modelling.