Existence Results for a Multipoint Fractional Boundary Value Problem in the Fractional Derivative Banach Space

被引：0
|
作者：
Boucenna, Djalal [1 ]
Chidouh, Amar [2 ]
Torres, Delfim F. M. [3 ]
机构：
[1] Enset, High Sch Technol Teaching, Skikda 21001, Algeria
[2] Chadli Bendjedid Univ, Dept Math, Eltarf 36000, Algeria
[3] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal
来源：
AXIOMS | 2022年 / 11卷 / 06期
关键词：
fractional differential equations; boundary value problems; Kolmogorov-Riesz theorem; fixed point theorems; Nemytskii operator; DIFFERENTIAL-EQUATIONS; UNIQUENESS;
D O I：
10.3390/axioms11060295
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：12
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