Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain

被引：0

作者：

Helal, Mohamed ^{[1
,2
]}

Kerfouf, Meriem ^{[3
]}

Semari, Fadila ^{[3
]}

机构：

[1] Mustapha Stambouli Univ Mascara, Sci & Technol Fac, BP 763, Mascara 29000, Algeria

[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, BP 89, Sidi Bel Abbes 22000, Algeria

[3] Mustapha Stambouli Univ Mascara, BP 763, Mascara 29000, Algeria

来源：

RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2024年 / 32卷 / 03期

关键词：

Boundary value problem; Hadamard's fractional derivative; solution; fixed point; Fr & eacute; chet spaces;

D O I：

10.1515/rose-2024-2011

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper we investigate the existence and uniqueness of solutions for a class of boundary value problem for fractional differential equations involving the Hadamard's fractional derivative, by applying a nonlinear alternative of Leray-Schauder due to Frigon and Granas for contraction maps in Fr & eacute;chet spaces.

引用

页码：241 / 248

页数：8

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