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An integral boundary fractional model to the world population growth

Author

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  • Wanassi, Om Kalthoum
  • Torres, Delfim F.M.

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.

Suggested Citation

  • Wanassi, Om Kalthoum & Torres, Delfim F.M., 2023. "An integral boundary fractional model to the world population growth," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000528
    DOI: 10.1016/j.chaos.2023.113151
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    References listed on IDEAS

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    1. Wang, Ying & Liu, Lishan & Zhang, Xinguang & Wu, Yonghong, 2015. "Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 312-324.
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