Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space
Classical Analysis and ODEs
2022-06-17 v2 Functional Analysis
Abstract
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, existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.
Keywords
Cite
@article{arxiv.2206.06726,
title = {Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space},
author = {Djalal Boucenna and Amar Chidouh and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2206.06726},
year = {2022}
}
Comments
This is a preprint of a paper whose final and definite form is published Open Access in 'Axioms' at [https://doi.org/10.3390/axioms11060295]