Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions

被引：0

作者：

Al-Shbeil, Isra ^{[1
]}

Benali, Abdelkader ^{[2
]}

Bouzid, Houari ^{[2
]}

Aloraini, Najla ^{[3
]}

机构：

[1] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[2] Univ Hassiba Benbouali, Fac Exact Sci & Comp, Math Dept, Lab LMA, Chlef 02000, Algeria

[3] Qassim Univ, Fac Sci, Dept Math, Qasim, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 10期

关键词：

Riemann-Liouville integral; existence of solutions; fixed point theorem;

D O I：

10.3934/math.2022998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives. By using a variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.

引用

页码：18142 / 18157

页数：16

共 50 条

[31] Positive solutions for a system of Riemann-Liouville fractional differential equations with multi-point fractional boundary conditions
Rodica Luca
[J]. Boundary Value Problems, 2017
[32] Positive solutions for a system of Riemann-Liouville fractional differential equations with multi-point fractional boundary conditions
Luca, Rodica
[J]. BOUNDARY VALUE PROBLEMS, 2017,
[33] Nontrivial Solutions of Higher-Order Nonlinear Singular Fractional Differential Equations with Fractional Multi-point Boundary Conditions
Xie, Shengli
Xie, Yiming
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (01) : 83 - 92
[34] Existence Results for Caputo Tripled Fractional Differential Inclusions with Integral and Multi-Point Boundary Conditions
Awadalla, Muath
Manigandan, Murugesan
[J]. FRACTAL AND FRACTIONAL, 2023, 7 (02)
[35] Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations
Nyamoradi, N.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2013, 48 (04): : 145 - 157
[36] Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations
N. Nyamoradi
[J]. Journal of Contemporary Mathematical Analysis, 2013, 48 : 145 - 157
[37] Eigenvalue problems for nonlinear conformable fractional differential equations with multi-point boundary conditions
Yang, Wengui
[J]. SCIENCEASIA, 2019, 45 (06): : 597 - 602
[38] On the Existence of Coupled Fractional Jerk Equations with Multi-Point Boundary Conditions
Hu, Lei
Han, Yaozhen
Zhang, Shuqin
[J]. AXIOMS, 2021, 10 (02)
[39] Solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions
Li, Yunhong
[J]. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON AUTOMATION, MECHANICAL CONTROL AND COMPUTATIONAL ENGINEERING, 2015, 124 : 1618 - 1622
[40] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH THREE-POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
Vats, Ramesh Kumar
Verma, Sachin Kumar
Nain, Ankit Kumar
Sihag, Vizendar
[J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 181 - 195

← 1 2 3 4 5 →