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

[41] Some existence, uniqueness results on positive solutions for a fractional differential equation with infinite-point boundary conditions
Zhai, Chengbo
Wang, Li
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (04): : 566 - 577
[42] Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
Ravi P Agarwal
Sotiris K Ntouyas
Bashir Ahmad
Mohammed S Alhothuali
Advances in Difference Equations, 2013
[43] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
Alsaedi, Ahmed
Ahmad, Bashir
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[44] Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
Ahmed Alsaedi
Bashir Ahmad
Advances in Difference Equations, 2010
[45] 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
[46] Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
Agarwal, Ravi P.
Ntouyas, Sotiris K.
Ahmad, Bashir
Alhothuali, Mohammed S.
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[47] The Existence of Solutions to Integral Boundary Value Problems of Fractional Differential Equations at Resonance
Zou, Yumei
He, Guoping
JOURNAL OF FUNCTION SPACES, 2017, 2017
[48] Existence results for fractional differential equations with three-point boundary conditions
Fu, Xi
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[49] Existence results for fractional differential equations with three-point boundary conditions
Xi Fu
Advances in Difference Equations, 2013
[50] Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions
A. M. A. El-Sayed
F. M. Gaafar
Advances in Difference Equations, 2019

← 1 2 3 4 5 →