分数阶导Banach空间中一类多点分数阶边值问题的存在性结果
经典分析与常微分方程
2022-06-17 v2 泛函分析
摘要
我们研究一类非线性隐式分数阶微分方程，其受由非线性积分微分方程表达的非局部边值条件约束。利用Krasnosel'skii不动点定理，经由Kolmogorov--Riesz准则，我们证明了解的存在性。存在性结果在特定的分数阶导Banach空间中建立，并借由两个数值例子加以说明。
引用
@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}
}
备注
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]