Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions

被引:2
|
作者
Samadi, Ayub [1 ]
Ntouyas, Sotiris K. [2 ]
Tariboon, Jessada [3 ]
机构
[1] Islamic Azad Univ, Dept Math, Miyaneh Branch, Miyaneh 5315836511, Iran
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
[3] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok 10800, Thailand
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 05期
关键词
coupled system; Hilfer fractional proportional derivative; multi-point boundary conditions; fixed-point theorem;
D O I
10.3934/math.2024633
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we studied the existence of solutions for a coupled system of nonlinear sequential proportional psi-Hilfer fractional differential equations with multi -point boundary conditions. By using a Burton's version of the Krasnosel'skii's fixed-point theorem we established sufficient conditions for the existence result. An example illustrating our main result was also provided.
引用
收藏
页码:12982 / 13005
页数:24
相关论文
共 50 条
  • [21] Multi-Point Boundary Value Problems for (k, φ)-Hilfer Fractional Differential Equations and Inclusions
    Tariboon, Jessada
    Samadi, Ayub
    Ntouyas, Sotiris K.
    AXIOMS, 2022, 11 (03)
  • [22] Eigenvalue problems for nonlinear conformable fractional differential equations with multi-point boundary conditions
    Yang, Wengui
    SCIENCEASIA, 2019, 45 (06): : 597 - 602
  • [23] Hilfer-type fractional differential equations with variable coefficients
    Restrepo, Joel E.
    Suragan, Durvudkhan
    CHAOS SOLITONS & FRACTALS, 2021, 150
  • [24] Lyapunov-Type Inequalities for Systems of Riemann-Liouville Fractional Differential Equations with Multi-Point Coupled Boundary Conditions
    Zou, Yumei
    Cui, Yujun
    FRACTAL AND FRACTIONAL, 2023, 7 (06)
  • [25] Sequential fractional differential equations and unification of anti-periodic and multi-point boundary conditions
    Alsaedi, Ahmed
    Ahmad, Bashir
    Aqlan, Mohammed H.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 71 - 83
  • [26] Investigating a generalized Hilfer-type fractional differential equation with two-point and integral boundary conditions
    Redhwan, Saleh S.
    Shaikh, Sadikali L.
    Abdo, Mohammed S.
    Shatanawi, Wasfi
    Abodayeh, Kamaleldin
    Almalahi, Mohammed A.
    Aljaaidi, Tariq
    AIMS MATHEMATICS, 2022, 7 (02): : 1856 - 1872
  • [27] On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions
    Wongcharoen, Athasit
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [28] On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
    Hu, Lei
    Han, Yaozhen
    Zhang, Shuqin
    AXIOMS, 2021, 10 (02)
  • [29] Existence of solutions for fractional differential equations with multi-point boundary conditions
    Zhou, Wen-Xue
    Chu, Yan-Dong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1142 - 1148
  • [30] A class of differential equations of fractional order with multi-point boundary conditions
    Ahmad, Bashir
    Nieto, Juan J.
    GEORGIAN MATHEMATICAL JOURNAL, 2014, 21 (03) : 243 - 248