Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
Azhar Hussain, Dumitru Bǎleanu, Muhammad Adeel
Abstract
The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo-Fabrizio derivative. We make use of fixed point theory and Picard-Lindelöf technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers-Ulam stability of the model using Gronwall's inequality.
Topics & Concepts
UniquenessMathematicsOrdinary differential equationStability (learning theory)Applied mathematicsGronwall's inequalityCoronavirus disease 2019 (COVID-19)Fractional calculusCoronavirusOrder (exchange)Partial differential equationWork (physics)Fixed-point theoremMathematical analysisInequalityDifferential equationComputer scienceMedicinePhysicsMachine learningDiseaseThermodynamicsFinanceEconomicsPathologyInfectious disease (medical specialty)Fractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis