Existence of solution for integral boundary value problems of fractional differential equations

被引：1

作者：

Yue, Xueying ^{[1
]}

Zhang, Kemei ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Positive solutions; Fractional differential equations; Leray-Schauder fixed point theorem; Guo-Krasnosel'skii's fixed point theorem; SIGN-CHANGING SOLUTION; POSITIVE SOLUTIONS;

D O I：

10.1186/s13661-018-1076-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of positive solutions of fractional differential equations on the infinite interval (0,+infinity). The positive solution of fractional differential equations is gained by using the properties of the Green's function, Leray-Schauder's fixed point theorems, and Guo-Krasnosel'skii's fixed point theorem. As an application, two examples are given to prove our conclusions.

引用

页数：13

共 50 条

[1] Existence of solution for integral boundary value problems of fractional differential equations
Xueying Yue
Kemei Zhang
Boundary Value Problems, 2018
[2] 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
[3] Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems
Wang, Yongqing
JOURNAL OF FUNCTION SPACES, 2018, 2018
[4] Existence of positive solution to a class of boundary value problems of fractional differential equations
Ali, Amjad
Shah, Kamal
Khan, Rahmat Ali
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2016, 4 (01): : 19 - 29
[5] Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations
Suli Liu
Huilai Li
Qun Dai
Junpeng Liu
Advances in Difference Equations, 2016
[6] Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations
Liu, Suli
Li, Huilai
Dai, Qun
Liu, Junpeng
Advances in Difference Equations, 2016,
[7] The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions
Cabada, Alberto
Dimitrijevic, Sladjana
Tomovic, Tatjana
Aleksic, Suzana
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1880 - 1891
[8] Existence of solutions for the integral boundary value problems of fractional order impulsive differential equations
Liu, Xiping
Jia, Mei
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (03) : 475 - 487
[9] Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann–Stieltjes integral boundary value problems
Bibo Zhou
Lingling Zhang
Nan Zhang
Emmanuel Addai
Advances in Difference Equations, 2020
[10] Existence of solutions for integral boundary value problems of mixed fractional differential equations under resonance
Shiying Song
Yujun Cui
Boundary Value Problems, 2020

← 1 2 3 4 5 →