Population growth modeling via rayleigh-caputo fractional derivative

Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abuasbeh

Research output: Contribution to journalJournal articlepeer-review

1 Scopus citations


This article is concerned with the prediction of population growth using the logistic growth model in the case when the carrying capacity K for the population tends to infinity. A new fractional approach is introduced based on so what called “Rayleigh distribution”. This approach produces a minimal error in estimation compared to the logistic growth model. In this paper, it is shown that the classical logistic model is not appropriate when the carrying capacity K tends to infinity, like for the Indian or Chinese population for instance. A fractional model that would be appropriate in such a case is proposed.

Original languageEnglish
Pages (from-to)11-16
Number of pages6
JournalJournal of Statistics Applications and Probability
Issue number1
StatePublished - 2021


  • Exponential growth
  • Initial value problems
  • Logistic growth
  • Optimization
  • ψ-Caputo fractional derivative


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