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.

引用

页数：28

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