On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis

被引：7
|
作者：
Waheed, Hira [1 ]
Zada, Akbar [1 ]
Popa, Ioan-Lucian [2 ,3 ]
Etemad, Sina [4 ,5 ]
Rezapour, Shahram [4 ,6 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar, Pakistan
[2] 1 Decembrie 1918 Univ Alba Iulia, Dept Comp Math & Elect, Iulia 510009, Alba, Romania
[3] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St 50, Brasov 500091, Romania
[4] Azarbaijan Shahid Madani Univ, Dept Math, Da NanTabrizg, Iran
[5] Al Ayen Univ, Sci Res Ctr, Math Appl Sci & Engn Res Grp, Nasiriyah 64001, Iraq
[6] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 03期
关键词：
Caputo sequential derivative; p-Laplacian; Fixed point theorems; Multi-point conditions; Hyers-Ulam stability; BOUNDARY-VALUE PROBLEM; HYERS-ULAM STABILITY; DIFFERENTIAL-EQUATION; POSITIVE SOLUTIONS; COUPLED SYSTEM; EXISTENCE;
D O I：
10.1007/s12346-024-00988-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of the paper is to study the qualitative theory of the solutions of a multi-point sequential Caputo-type p-Laplacian coupled system. The existence and uniqueness of the solution of the aforementioned system are studied with the help of fixed point theorems and properties of a p-Laplacian operator. Furthermore, the Hyers-Ulam stability and generalized Hyers-Ulam stability are also investigated. For the validity of the obtained results, an illustrative example is given.
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页数：28
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