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：
美国国家科学基金会; 中国国家自然科学基金;
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
收藏
页数：13
相关论文
共 50 条
  • [31] Existence of solutions for fractional differential equations with integral boundary conditions
    Yan, Rian
    Sun, Shurong
    Lu, Hongling
    Zhao, Yan
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [32] Existence of Boundary Value Problems for Impulsive Fractional Differential Equations with a Parameter
    Jin You
    Mengrui Xu
    Shurong Sun
    Communications on Applied Mathematics and Computation, 2021, 3 : 585 - 604
  • [33] SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Wang, Jinrong
    Lv, Linli
    Zhou, Yong
    FIXED POINT THEORY, 2013, 14 (02): : 507 - 522
  • [34] Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval
    Liu, Weiwei
    Liu, Lishan
    Wu, Yonghong
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [35] Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations
    Mahmudov, Nazim I.
    Al-Khateeb, Areen
    MATHEMATICS, 2019, 7 (04)
  • [36] Existence for boundary value problems of two-term Caputo fractional differential equations
    Ibrahim, Badawi Hamza Elbadawi
    Dong, Qixiang
    Fan, Zhenbin
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 511 - 520
  • [37] EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
    Jin, Jingfu
    Liu, Xiping
    Jia, Mei
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [38] Existence results for a coupled system of nonlinear fractional differential equations with boundary value problems on an unbounded domain
    Khodabakhshi, Neda
    Vaezpour, S. Mansour
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (73) : 1 - 15
  • [39] EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS ON TIME SCALES
    Yan, R. A.
    Sun, S. R.
    Han, Z. L.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (02) : 247 - 262
  • [40] Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method
    Wanassi, Om Kalthoum
    Bourguiba, Rim
    Torres, Delfim F. M.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (05) : 3582 - 3595
12345