Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions

被引:5
|
作者
Choi, HuiChol [1 ]
Sin, YongSim [1 ]
Jong, KumSong [1 ]
机构
[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea
关键词
Functional analysis - Boundary conditions - Topology - Integral equations - Nonlinear equations - Banach spaces;
D O I
10.1155/2020/1212040
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the solvability of a class of nonlinear multiorder Caputo fractional differential equations with integral and antiperiodic boundary conditions. By using some fixed point theorems including the Banach contraction mapping principle and Schaefer's fixed point theorem, we obtain new existence and uniqueness results for our given problem. Also, we give some examples to illustrate our main results.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Existence results for nonlinear fractional integro-differential equations with integral and antiperiodic boundary conditions
    Ibnelazyz, Lahcen
    Guida, Karim
    Hilal, Khalid
    Melliani, Said
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (01):
  • [2] Existence results for nonlinear fractional integro-differential equations with integral and antiperiodic boundary conditions
    Lahcen Ibnelazyz
    Karim Guida
    Khalid Hilal
    Said Melliani
    Computational and Applied Mathematics, 2021, 40
  • [3] Existence results for nonlinear fractional integrodifferential equations with antiperiodic type integral boundary conditions
    Zuo, Xiaohong
    Yang, Wengui
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (06) : 1065 - 1076
  • [4] EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
    Benchohra, Mouffak
    Ouaar, Fatima
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (04): : 7 - 15
  • [5] Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions
    Zhang, Huina
    Gao, Wenjie
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] Some existence results for nonlinear fractional differential equations with impulsive and fractional integral boundary conditions
    Fu, Xi
    Bao, Xinmiao
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [7] Some existence results for nonlinear fractional differential equations with impulsive and fractional integral boundary conditions
    Xi Fu
    Xinmiao Bao
    Advances in Difference Equations, 2014
  • [8] Existence of Solutions for a Class of Fractional Ordinary Differential Equations with Integral and Antiperiodic Boundary Value Conditions
    Zhai, Haiyan
    Yu, Chenchen
    Wang, Jing
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 883 - 888
  • [9] EXISTENCE AND UNIQUENESS RESULTS FOR A COUPLED SYSTEM OF NONLINEAR Ψ-FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Oufkir, Khadija
    El Mfadel, Ali
    Melliani, Said
    Elomari, M'hamed
    Sadiki, Hamid
    MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 411 - 423
  • [10] EXISTENCE RESULTS FOR A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS ON THE HALF-LINE
    Benmezai, Abdelhamid
    Saadi, Abdelkader
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2015, 7 (03): : 333 - 346