An integral boundary fractional model to the world population growth
Om Kalthoum Wanassi, Delfim F. M. Torres
Abstract
We consider a fractional differential equation of order α, α∈(2,3], involving a ψ-Caputo fractional derivative subject to initial conditions on function and its first derivative and an integral boundary condition that depends on the unknown function. As an application, we investigate the world population growth. We find an order α and a function ψ for which the solution of our fractional model describes given real data better than available models.
Topics & Concepts
Fractional calculusMathematicsPopulation modelFunction (biology)Boundary value problemOrder (exchange)Derivative (finance)PopulationBoundary (topology)Mathematical analysisApplied mathematicsMedicineEconomicsEvolutionary biologyBiologyFinanceFinancial economicsEnvironmental healthFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisIterative Methods for Nonlinear Equations