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
相关论文
共 50 条
  • [21] Existence results of fractional differential equations with irregular boundary conditions and p-Laplacian operator
    Lv Z.-W.
    Lv, Z.-W. (sdlllzw@mail.ustc.edu.cn), 1600, Springer Verlag (46): : 33 - 49
  • [22] Extremal solutions for singular fractional p-Laplacian differential equations with nonlinear boundary conditions
    Youzheng Ding
    Jian Yang
    Xiaoyan Zhang
    Advances in Difference Equations, 2016
  • [23] Solvability of Fractional Differential Equations with p-Laplacian and Functional Boundary Value Conditions at Resonance
    Sun, Bingzhi
    Jiang, Weihua
    Zhang, Shuqin
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
  • [24] Extremal solutions for singular fractional p-Laplacian differential equations with nonlinear boundary conditions
    Ding, Youzheng
    Yang, Jian
    Zhang, Xiaoyan
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [25] Solvability of Fractional Differential Equations with p-Laplacian and Functional Boundary Value Conditions at Resonance
    Bingzhi Sun
    Weihua Jiang
    Shuqin Zhang
    Mediterranean Journal of Mathematics, 2022, 19
  • [26] A coupled system of fractional differential equations with nonlocal integral boundary conditions
    Sotiris K Ntouyas
    Mustafa Obaid
    Advances in Difference Equations, 2012
  • [27] A coupled system of fractional differential equations with nonlocal integral boundary conditions
    Ntouyas, Sotiris K.
    Obaid, Mustafa
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [28] SOLVABILITY FOR A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
    Zhu, Chuanxi
    Zhang, Xiaozhi
    Wu, Zhaoqi
    TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (06): : 2039 - 2054
  • [29] Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian
    Luchao Zhang
    Weiguo Zhang
    Xiping Liu
    Mei Jia
    Advances in Difference Equations, 2017
  • [30] Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian
    Zhang, Luchao
    Zhang, Weiguo
    Liu, Xiping
    Jia, Mei
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
12345