Boletim da Sociedade Paranaense de Matemática (Dec 2022)

Solving fuzzy fractional Atangana-Baleanu differential equation using Adams-Bashforth-Moulton method

  • Said Melliani,
  • Fouziya Zamtain,
  • M'hamed Elomari,
  • Lalla Saadia Chadli

DOI
https://doi.org/10.5269/bspm.63335
Journal volume & issue
Vol. 41

Abstract

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This work is concerned with the numerical study of the fuzzy fractional equation involving the Atangana-Baleanu derivative in the sense of Caputo. We are going to apply the Adams Bashforth Moulton method to the equation concerned, which is an interconnection between the Lagrange approximation and the trapezoidal rule. We achieved this work by giving examples that illustrate this method.