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Numerical solution of fractional boundary value problem with caputo-fabrizio and its fractional integral.
Moumen Bekkouche, M; Mansouri, I; Ahmed, A A Azeb.
Afiliación
  • Moumen Bekkouche M; Department of Mathematics, Faculty of Exact Sciences, El Oued University, 39000 El Oued, Algeria.
  • Mansouri I; Department of Mathematics, Faculty of Exact Sciences, El Oued University, 39000 El Oued, Algeria.
  • Ahmed AAA; Department of Mathematics, Faculty of Exact Sciences, El Oued University, 39000 El Oued, Algeria.
J Appl Math Comput ; 68(6): 4305-4316, 2022.
Article en En | MEDLINE | ID: mdl-35136391
In this article, we investigate the existence and uniqueness of the solution of a fractional boundary value problem with conformable fractional derivation of the Caputo-Fabrizio type. In order to study this problem we used a new definition of fractional integral as an inverse of the conformable fractional derivative of Caputo-Fabrizio, therefore, so we transformed the problem to a equivalent linear Volterra-Fredholm integral equations of the second kind, and taking sufficient conditions existence and uniqueness of this solution is proven based on the results obtained. The analytical study is followed by a complete numerical study.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: J Appl Math Comput Año: 2022 Tipo del documento: Article País de afiliación: Argelia Pais de publicación: Alemania
Texto completo
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XML
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: J Appl Math Comput Año: 2022 Tipo del documento: Article País de afiliación: Argelia Pais de publicación: Alemania