A coupled system of p-Laplacian implicit fractional differential equations depending on boundary conditions of integral type

被引：4
|
作者：
Nie, Dongming [1 ]
Riaz, Usman [2 ]
Begum, Sumbel [3 ]
Zada, Akbar [3 ]
机构：
[1] Anhui Xinhua Univ, Dept Common Courses, Hefei 230088, Peoples R China
[2] Qurtuba Univ Sci & Informat Technol, Dept Phys & Numer Sci, Peshawar, Pakistan
[3] Univ Peshawar, Dept Math, Peshawar, Khyber Pakhtunk, Pakistan
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 07期
关键词：
p-Laplacian operator; coupled system of fractional differential equations; positive solutions; stability in the form of Ulam; HYERS-ULAM STABILITY;
D O I：
10.3934/math.2023839
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this article is to investigate a coupled implicit Caputo fractional pLaplacian system, depending on boundary conditions of integral type, by the substitution method. The Avery-Peterson fixed point theorem is utilized for finding at least three solutions of the proposed coupled system. Furthermore, different types of Ulam stability, i.e., Hyers-Ulam stability, generalized Hyers-Ulam stability, Hyers-Ulam-Rassias stability and generalized Hyers-Ulam-Rassias stability, are achieved. Finally, an example is provided to authenticate the theoretical result.
引用
收藏
页码：16417 / 16445
页数：29
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