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Study of a Fractional-Order Epidemic Model of Childhood Diseases

Aman Ullah, Thabet Abdeljawad, Shabir Ahmad, Kamal Shah

2020Journal of Function Spaces32 citationsDOIOpen Access PDF

Abstract

In this article, we discuss the existence and uniqueness of the solution of the fractional-order epidemic model of childhood diseases by using fixed point theory. The technique of natural transform coupled with the Adomian decomposition is used to find the solution of the proposed model. At the end of the article, the model is demonstrated with appropriate numerical and graphical description.

Topics & Concepts

UniquenessOrder (exchange)Epidemic modelAdomian decomposition methodApplied mathematicsMathematicsFractional calculusPoint (geometry)Calculus (dental)Mathematical analysisMedicineDifferential equationEconomicsGeometryDentistryPopulationEnvironmental healthFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical and Theoretical Epidemiology and Ecology Models
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