A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions

被引：0
|
作者：
Bashir Ahmad
Soha Hamdan
Ahmed Alsaedi
Sotiris K. Ntouyas
机构：
[1] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[2] University of Ioannina,Research Group, Department of Mathematics, Faculty of Science
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional differential equations; Caputo fractional derivative; System; Existence; Fixed point theorems; 34A08; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray–Schauder alternative and Banach’s contraction mapping principle. Illustrative examples are also presented.
引用
收藏
相关论文
共 50 条
  • [1] A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions
    Ahmad, Bashir
    Hamdan, Soha
    Alsaedi, Ahmed
    Ntouyas, Sotiris K.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [2] Coupled system of fractional differential equations with impulsive and nonlocal coupled boundary conditions
    Amra, Iman E. Abo
    Matar, Mohammed M.
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 477 - 497
  • [3] Coupled system of fractional differential equations with impulsive and nonlocal coupled boundary conditions
    Iman E. Abo Amra
    Mohammed M. Matar
    [J]. Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 477 - 497
  • [4] On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    [J]. CHAOS SOLITONS & FRACTALS, 2016, 83 : 234 - 241
  • [5] A coupled system of fractional differential equations with nonlocal integral boundary conditions
    Sotiris K Ntouyas
    Mustafa Obaid
    [J]. Advances in Difference Equations, 2012
  • [6] A coupled system of fractional differential equations with nonlocal integral boundary conditions
    Ntouyas, Sotiris K.
    Obaid, Mustafa
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [7] On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann-Stieltjes Boundary Conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    Aljahdali, Areej S.
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
  • [8] Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions
    Alsaedi, Ahmed
    Hamdan, Soha
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [9] Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions
    Ahmed Alsaedi
    Soha Hamdan
    Bashir Ahmad
    Sotiris K. Ntouyas
    [J]. Journal of Inequalities and Applications, 2021
  • [10] On a system of Riemann–Liouville fractional differential equations with coupled nonlocal boundary conditions
    Rodica Luca
    [J]. Advances in Difference Equations, 2021
12345