A study on fractional COVID-19 disease model by using Hermite wavelets. (English) Zbl 1534.92085
This paper presents a study on fractional COVID-19 disease model by using Hermite wavelets. It presents essential explanations of fractional calculus and constructs the Hermite wavelets for arbitrary interval and discusses the convergence analysis. The paper develops the operational for Hermite wavelets based on the block pulse functions developed in the paper. It uses Hermite wavelets and Adams-Bashforth-Moulton to solve the COVID-19 infection model. Some numerical simulations are presented to illustrate the theoretical prediction.
Reviewer: Yilun Shang (Newcastle upon Tyne)
MSC:
| 92D30 | Epidemiology |
| 34A08 | Fractional ordinary differential equations |
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
Keywords:
Caputo derivative; convergence analysis; coronavirus; Hermite wavelets; mathematical model; operational matrixReferences:
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