An integral boundary fractional model to the world population growth

Om Kalthoum Wanassi and Delfim F.M. Torres

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

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.

Keywords: ψ-Caputo fractional differential equations; Integral boundary conditions; Population growth model (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000528

DOI: 10.1016/j.chaos.2023.113151

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