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

Authors

  • Youcef Henka Université 8 Mai 1945 Guelma.
  • Samir Lemita Ecole normale supérieure de Ouargla.
  • Mohamed Zine Aissaoui Université 8 Mai 1945 Guelma.

DOI:

https://doi.org/10.22199/issn.0717-6279-5542

Keywords:

Fredholm integro-differential equation, nonlinear equation, collocation technique, Hermite wavelets, fractional derivative

Abstract

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.

Author Biographies

Youcef Henka , Université 8 Mai 1945 Guelma.

Laboratoire de Mathématiques Appliquées et de Modélisation.

Mohamed Zine Aissaoui, Université 8 Mai 1945 Guelma.

Laboratoire de Mathématiques Appliquées et de Modélisation.

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Published

2023-07-18

How to Cite

[1]
Y. . Henka, S. Lemita, and M. Z. . Aissaoui, “Hermite Wavelets Collocation Method for solving a Fredholm integro-differential equation with fractional Caputo-Fabrizio Derivative”, Proyecciones (Antofagasta, On line), vol. 42, no. 4, pp. 917-930, Jul. 2023.

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