Hermite Wavelets Collocation Method for solving a Fredholm integro-differential equation with fractional Caputo-Fabrizio Derivative

• Henka , Youcef ; Lemita, Samir ^[1] ; Aissaoui, Mohamed Zine
  1. [1] Ecole normale supérieure de Ouargla.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 917-930
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5542
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• Resumen

  • In this paper, we investigate the numerical study of nonlinear Fredholm integro-differential equation with the fractional Caputo-Fabrizio derivative. We use the Hermite wavelets and collocation technique to approximate the exact solution by reducing the Fredholm integro-differential equation to a nonlinear algebraic system. Furthermore, we applied this numerical method on certain examples to check its accuracy and validity.

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