Existence results for a functional boundary value problem of fractional differential equations

被引：26

作者：

Zou, Yumei ^{[1
]}

Cui, Yujun ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Dept Stat & Finance, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol, Dept Math, Qingdao 266590, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

POSITIVE SOLUTIONS;

D O I：

10.1186/1687-1847-2013-233

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a functional boundary value problem of fractional differential equations is studied. Based on Mawhin's coincidence degree theory, some existence theorems are obtained in the case of nonresonance and the cases of dim Ker L = 1 and dim Ker L = 2 at resonance.

引用

页数：25

共 50 条

[31] Existence Results for Singular Boundary Value Problem of Nonlinear Fractional Differential Equation
Cui, Yujun
ABSTRACT AND APPLIED ANALYSIS, 2011,
[32] Existence results of positive solutions to boundary value problem for fractional differential equation
Zhang, Shuqin
POSITIVITY, 2009, 13 (03) : 583 - 599
[33] Existence results of positive solutions to boundary value problem for fractional differential equation
Shuqin Zhang
Positivity, 2009, 13 : 583 - 599
[34] Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter
Cheng, Tingzhi
Xu, Xianghui
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (06) : 3721 - 3746
[35] Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter
Tingzhi Cheng
Xianghui Xu
Journal of Applied Mathematics and Computing, 2022, 68 : 3721 - 3746
[36] EXISTENCE OF SOLUTIONS FOR NONLOCAL BOUNDARY VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS ON THE INFINITE INTERVAL
Abdellatif Ghendir Aoun
Annals of Applied Mathematics, 2017, 33 (04) : 340 - 352
[37] Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations
Poovarasan, R.
Gomez-Aguilar, J. F.
Govindaraj, V
PHYSICA SCRIPTA, 2024, 99 (05)
[38] Positive solutions for boundary value problem of nonlinear fractional functional differential equations
Li, Xiaoyan
Liu, Song
Jiang, Wei
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 9278 - 9285
[39] Existence results for boundary value problems of Hadamard fractional differential equations on unbounded domain
Helal, Mohamed
Kerfouf, Meriem
Semari, Fadila
RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2024, 32 (03) : 241 - 248
[40] Existence results for boundary value problems with non-linear fractional differential equations
Benchohra, Mouffak
Graef, John R.
Hamani, Samira
APPLICABLE ANALYSIS, 2008, 87 (07) : 851 - 863

← 1 2 3 4 5 →