On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory

被引：3

作者：

Choucha, Omar ^{[1
]}

Amara, Abdelkader ^{[1
]}

Etemad, Sina ^{[2
]}

Rezapour, Shahram ^{[2
,3
]}

Torres, Delfim F. M. ^{[4
]}

Botmart, Thongchai ^{[5
]}

机构：

[1] Univ Kasdi Merbah, Lab Appl Math, Ouargla 30000, Algeria

[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[5] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 01期

关键词：

discrete fractional operators; stability; existence results; Banach principle; DIFFERENTIAL-EQUATIONS;

D O I：

10.3934/math.2023073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of solutions to discrete fractional equations that involve Riemann-Liouville and Caputo fractional derivatives with three-point boundary conditions. The results are obtained by conducting an analysis via the Banach principle and the Brouwer fixed point criterion. Moreover, we prove stability, including Hyers-Ulam and Hyers-Ulam-Rassias type results. Finally, some numerical models are provided to illustrate and validate the theoretical results.

引用

页码：1455 / 1474

页数：20

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