Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space

We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed-point theorem we prove, via the Kolmogorov-Riesz criteria, the existence of solutions....

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Detalhes bibliográficos
Autor principal: Boucenna, Djalal (author)
Outros Autores: Chidouh, Amar (author), Torres, Delfim F. M. (author)
Formato: article
Idioma:eng
Publicado em: 2022
Assuntos:
Texto completo:http://hdl.handle.net/10773/34443
País:Portugal
Oai:oai:ria.ua.pt:10773/34443
Descrição
Resumo:We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed-point theorem we prove, via the Kolmogorov-Riesz criteria, the existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.