Positive solutions of nonlinear fractional differential equations with integral boundary value conditions

被引：263
|
作者：
Cabada, Alberto [1 ]
Wang, Guotao [2 ]
机构：
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 01期
关键词：
Fractional differential equations; Integral boundary conditions; Positive solution; Green function; Super linear (sublinear) condition; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;
D O I：
10.1016/j.jmaa.2011.11.065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of positive solutions for a class of nonlinear boundary-value problem of fractional differential equations with integral boundary conditions. Our analysis relies on known Guo-Krasnoselskii fixed point theorem. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：403 / 411
页数：9
相关论文
共 50 条
  • [41] Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    BOUNDARY VALUE PROBLEMS, 2016,
  • [42] A study of existence and multiplicity of positive solutions for nonlinear fractional differential equations with nonlocal boundary conditions
    Bouteraa, Noureddine
    Benaicha, Slimane
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (02): : 361 - 380
  • [43] Fractional differential equations with integral boundary conditions
    Wang, Xuhuan
    Wang, Liping
    Zeng, Qinghong
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (04): : 309 - 314
  • [44] Existence and uniqueness solutions for nonlinear fractional differential equations with fractional integral boundary conditions
    Abdul-Razaq, N. A.
    Mohammed, H. S.
    Housens, N. L.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (07) : 1831 - 1840
  • [45] Positive solutions for integral boundary value problems of fractional differential equations with delay
    Shuai Li
    Zhixin Zhang
    Wei Jiang
    Advances in Difference Equations, 2020
  • [46] Positive Solutions for Nonlinear Caputo Type Fractional q-Difference Equations with Integral Boundary Conditions
    Yang, Wengui
    Qin, Yaping
    MATHEMATICS, 2016, 4 (04):
  • [47] Positive solutions for a class of fractional differential coupled system with integral boundary value conditions
    Zhao, Daliang
    Liu, Yansheng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2922 - 2942
  • [48] Positive solutions for higher order differential equations with integral boundary conditions
    Ji, Yude
    Guo, Yanping
    Yao, Yukun
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 11
  • [49] Positive solutions and monotone iterative sequences for a fractional differential equation with integral boundary conditions
    Sun, Yongping
    Sun, Yan
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [50] Positive Solutions for Boundary Value Problems of Fractional Differential Equation with Integral Boundary Conditions
    Sun, Qiao
    Ji, Hongwei
    Cui, Yujun
    JOURNAL OF FUNCTION SPACES, 2018, 2018
12345