Solvability and stability analysis of a coupled system involving generalized fractional derivatives

被引：9

作者：

Djaout, Abdallah ^{[1
]}

Benbachir, Maamar ^{[2
]}

Lakrib, Mustapha ^{[3
]}

Matar, Mohammed M. ^{[4
]}

Khan, Aziz ^{[5
]}

Abdeljawad, Thabet ^{[5
,6
,7
]}

机构：

[1] Saad Dahlab Univ, Fac Sci, Blida, Algeria

[2] Natl Higher Sch Math, Algiers, Algeria

[3] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, Sidi Bel Abbes, Algeria

[4] Al Azhar Univ Gaza, Dept Math, Gaza, Palestine

[5] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia

[6] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[7] Kyung Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul 02447, South Korea

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 04期

关键词：

existence and uniqueness; generalized fractional derivative and integral; boundary value problem; minimal and maximal solutions; Ulam-Hyers; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.3934/math.2023393

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the existence of unique maximal and minimal solutions for a coupled differential system in terms of generalized fractional derivative with arbitrary order. The iterative technique of a fixed point operator together with the properties of green's function are used basically. Moreover, we investigate the generalized Ulam-Hyers stability of the solution for the given coupled system. Finally, some examples are given to illustrate the theoretic results.

引用

收藏

页码：7817 / 7839

页数：23

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