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Caputo fractional reduced differential transform method for SEIR epidemic model with fractional order

Sunday Emmanuel Fadugba, Farhad Ali, Auwal Bala Abubakar

2021Mathematical Modeling and Computing14 citationsDOI

Abstract

This paper proposes the Caputo Fractional Reduced Differential Transform Method (CFRDTM) for Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model with fractional order in a host community. CFRDTM is the combination of the Caputo Fractional Derivative (CFD) and the well-known Reduced Differential Transform Method (RDTM). CFRDTM demonstrates feasible progress and efficiency of operation. The properties of the model were analyzed and investigated. The fractional SEIR epidemic model has been solved via CFRDTM successfully. Hence, CFRDTM provides the solutions of the model in the form of a convergent power series with easily computable components without any restrictive assumptions.

Topics & Concepts

Fractional calculusMathematicsApplied mathematicsOrder (exchange)Epidemic modelDifferential (mechanical device)PhysicsDemographyPopulationSociologyThermodynamicsEconomicsFinanceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Control Systems Design
Caputo fractional reduced differential transform method for SEIR epidemic model with fractional order | Litcius