Mathematical model of Alzheimer’s disease using fractional derivatives

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Abstract

The creation of a mathematical model for Alzheimer’s disease using a set of fractional partial differential equations is discussed in this study. The dynamics of Alzheimer disease spread in a population can be explained by the mathematical model. Numerical solutions are obtained by using Newton’s polynomial interpolation approach. A series of numerical simulations are presented to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Article numberMTJPAM-D-23-00008
Pages (from-to)350-362
Number of pages13
JournalMontes Taurus Journal of Pure and Applied Mathematics
Volume6
Issue number3
Publication statusPublished - 2024

Keywords

  • Alzheimer’s disease
  • Atangana-Baleanu derivative
  • mathematical modeling
  • numerical solution

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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