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Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative

Kamal Shah, Zareen A. Khan, Amjad Ali, Rohul Amin, Hasib Khan, Aziz Khan

2020Alexandria Engineering Journal69 citationsDOIOpen Access PDF

Abstract

This article is devoted to study a compartmental mathematical model for the transmission dynamics of the novel Coronavirus-19 under Caputo fractional order derivative. By using fixed point theory of Schauder’s and Banach we establish some necessary conditions for existence of at least one solution to model under investigation and its uniqueness. After the existence a general numerical algorithm based on Haar collocation method is established to compute the approximate solution of the model. Using some real data we simulate the results for various fractional order using Matlab to reveal the transmission dynamics of the current disease due to Coronavirus-19 through graphs.

Topics & Concepts

Fractional calculusCoronavirus disease 2019 (COVID-19)Applied mathematicsHaarMathematicsHaar waveletCollocation (remote sensing)Derivative (finance)Order (exchange)WaveletDiscrete wavelet transformComputer scienceWavelet transformArtificial intelligenceMedicineBusinessMachine learningDiseasePathologyInfectious disease (medical specialty)FinanceFractional Differential Equations SolutionsAdvanced Control Systems DesignIterative Methods for Nonlinear Equations