EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

被引：0
|
作者：
Derbazi, Choukri [1 ]
Hammouche, Hadda [1 ]
机构：
[1] Univ Ghardaia, Lab Math & Appl Sci, Ghardaia 47000, Algeria
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 14卷 / 01期
关键词：
Fractional differential equations; fractional integral; Caputo fractional derivative; Existence; Uniqueness; Fixed point theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence and uniqueness of solutions for fractional differential equations with fractional integral and Caputo fractional derivatives in boundary conditions. Our analysis relies on the Banach contraction principle, Schauder fixed point theorem and Krasnoselskii's fixed point theorem. Examples are provided to illustrate the main results.
引用
收藏
页码：141 / 162
页数：22
相关论文
共 50 条
  • [1] EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Derbazi, Choukri
    Hammouche, Hadda
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 341 - 361
  • [2] Existence and Uniqueness Results for a Fractional Differential Equations with Nonlocal Boundary Conditions
    Verma, Sachin Kumar
    Vats, Ramesh Kumar
    Nain, Ankit Kumar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [3] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Sharifov, Yagub A.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 36 (44): : 125 - 134
  • [4] EXISTENCE RESULTS FOR IMPULSIVE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Liu, Zhenhai
    Lv, Jingyun
    MATHEMATICA SLOVACA, 2015, 65 (06) : 1291 - 1308
  • [5] Existence and Uniqueness of Solutions for the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions
    Ashyralyev, Allaberen
    Sharifov, Yagub A.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [6] Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions
    Mardanov, M. J.
    Sharifov, Y. A.
    Aliyev, H. N.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 726 - 735
  • [7] Generalized existence results for solutions of nonlinear fractional differential equations with nonlocal boundary conditions
    Aljurbua, Saleh Fahad
    AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (11)
  • [8] Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions
    Thiramanus, Phollakrit
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions
    Liu, Xiping
    Li, Fanfan
    Jia, Mei
    Zhi, Ertao
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] 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
12345