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
收藏
页数：25
相关论文
共 50 条
  • [41] Boundary value problems for fractional differential equations
    Hu, Zhigang
    Liu, Wenbin
    Liu, Jiaying
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 11
  • [42] 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
  • [43] Existence of solutions for the delayed nonlinear fractional functional differential equations with three-point integral boundary value conditions
    Zhao, Kaihong
    Wang, Kun
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [44] Nonlocal boundary value problem for fractional differential equations with p-Laplacian
    Zhi, Ertao
    Liu, Xiping
    Li, Fanfan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (17) : 2651 - 2662
  • [45] Existence solutions for boundary value problem of nonlinear fractional q-difference equations
    Zhou, Wen-Xue
    Liu, Hai-Zhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [46] EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Derbazi, Choukri
    Hammouche, Hadda
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 341 - 361
  • [47] Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions
    Ahmad, Bashir
    Matar, Mohammed M.
    Agarwal, Ravi P.
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 13
  • [48] Existence results for the fractional differential equations with multi-strip integral boundary conditions
    Di, Bin
    Pang, Huihui
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 59 (1-2) : 1 - 19
  • [49] EXISTENCE OF SOLUTIONS FOR A NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEM
    Gao, Zhen
    Wang, Min
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (03) : 831 - 843
  • [50] Existence results for fractional differential equations with integral and multi-point boundary conditions
    Wang, Youyu
    Liang, Shuilian
    Wang, Qichao
    BOUNDARY VALUE PROBLEMS, 2018,
12345