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

被引：7
|
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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