Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance

被引：0

作者：

Wei Zhang

Wenbin Liu

机构：

[1] China University of Mining and Technology,School of Mathematics

来源：

Boundary Value Problems | / 2018卷

关键词：

Fractional differential equation; Infinite point boundary value problem; Resonance; Mawhin’s continuation theorem; 34A08; 34B15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, by using Mawhin’s continuation theorem, we establish some sufficient conditions for the existence of at least one solution for a class of fractional infinite point boundary value problem at resonance. Moreover, an example is given to illustrate our results.

引用

共 50 条

[1] Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance
Zhang, Wei
Liu, Wenbin
BOUNDARY VALUE PROBLEMS, 2018,
[2] Existence of solutions to a coupled system of fractional differential equations with infinite-point boundary value conditions at resonance
Hu, Lei
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[3] Existence of solutions to a coupled system of fractional differential equations with infinite-point boundary value conditions at resonance
Lei Hu
Advances in Difference Equations, 2016
[4] Existence of positive solutions of singular fractional differential equations with infinite-point boundary conditions
Yan Qiao
Zongfu Zhou
Advances in Difference Equations, 2017
[5] Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
Guo, Limin
Liu, Lishan
Wu, Yonghong
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (05): : 635 - 650
[6] Existence of positive solutions of singular fractional differential equations with infinite-point boundary conditions
Qiao, Yan
Zhou, Zongfu
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[7] Existence of solutions for fractional differential equations with three-point boundary conditions at resonance in Rn
Ge, Fu-Dong
Zhou, Hua-Cheng
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (68)
[8] EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT BOUNDARY CONDITIONS AT RESONANCE IN HILBERT SPACES
Zhou, Hua-Cheng
Ge, Fu-Dong
Kou, Chun-Hai
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[9] Existence of solutions for fractional differential equations with multi-point boundary conditions
Zhou, Wen-Xue
Chu, Yan-Dong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1142 - 1148
[10] Existence of Solutions for Fractional Differential Equations with Multi-point Boundary Conditions at Resonance on a Half-line
Zhou, Huacheng
Kou, Chunhai
Xie, Feng
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (27) : 1 - 16

← 1 2 3 4 5 →