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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Bibliographic Details
Main Author: Boucenna, Djalal (author)
Other Authors: Chidouh, Amar (author), Torres, Delfim F. M. (author)
Format: article
Language:eng
Published: 2022
Subjects:
Fractional differential equations
Boundary value problems
Kolmogorov-Riesz theorem
Fixed point theorems
Nemytskii operator
Online Access:http://hdl.handle.net/10773/34443
Country:Portugal
Oai:oai:ria.ua.pt:10773/34443
Description
Summary: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.

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