Existence of solutions for Caputo fractional boundary value problems with integral conditions

被引：0

作者：

Liu, Wenjun ^{[1
]}

Zhuang, Hefeng ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2017年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Ractional differential equations; integral conditions; fixed point theorem; existence; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; POSITIVE SOLUTIONS; CAUCHY-PROBLEM; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence results for Caputo fractional boundary value problems with integral conditions. Our analysis relies on Banach's contraction principle, Leray-Schauder nonlinear alternative, Boyed and Wong fixed point theorem, and Krasnoselskii's fixed point theorem. As applications, some examples are provided to illustrate our main results.

引用

页码：207 / 217

页数：11

共 50 条

[1] Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions
Choukri Derbazi
Hadda Hammouche
[J]. Arabian Journal of Mathematics, 2020, 9 : 531 - 544
[2] Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions
Derbazi, Choukri
Hammouche, Hadda
[J]. ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (03) : 531 - 544
[3] EXISTENCE RESULTS FOR CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEMS WITH UNRESTRICTED GROWTH CONDITIONS
Fewster-Young, Nicholas
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (02): : 135 - 146
[4] Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions
Xue Yimin
Dai Zhenxiang
Liu Jie
Su Ying
[J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 31 (01): : 56 - 70
[5] Existence of solutions for Caputo fractional delay differential equations with nonlocal and integral boundary conditions
Cui, Ziyue
Zhou, Zongfu
[J]. FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01):
[6] Existence of solutions for impulsive integral boundary value problems of fractional order
Ahmad, Bashir
Sivasundaram, S.
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 134 - 141
[7] Existence and uniqueness of solutions to Riesz-Caputo impulsive fractional boundary value problems
Toprakseven, Suayip
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (08) : 2071 - 2086
[8] EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS ON TIME SCALES
Yan, R. A.
Sun, S. R.
Han, Z. L.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (02) : 247 - 262
[9] Existence of solutions for Caputo fractional iterative equations under several boundary value conditions
Li, Cuiying
Wu, Rui
Ma, Ranzhuo
[J]. AIMS MATHEMATICS, 2023, 8 (01): : 317 - 339
[10] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS TO THE CAPUTO-TYPE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH INTEGRAL BOUNDARY VALUE CONDITIONS
Asaduzzaman, Md
Ali, Md Zulfikar
[J]. FIXED POINT THEORY, 2022, 23 (01): : 127 - 129

← 1 2 3 4 5 →