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
  • [31] Positive solutions of conformable fractional differential equations with integral boundary conditions
    Zhong, Wenyong
    Wang, Lanfang
    BOUNDARY VALUE PROBLEMS, 2018,
  • [32] Positive solutions to fractional boundary value problems with nonlinear boundary conditions
    Feng, Wenquan
    Sun, Shurong
    Li, Xinhui
    Xu, Meirong
    BOUNDARY VALUE PROBLEMS, 2014,
  • [33] Positive solutions of p-Laplacian fractional differential equations with integral boundary value conditions
    Li, Yunhong
    Li, Guogang
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 717 - 726
  • [34] Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
    Dandan Min
    Lishan Liu
    Yonghong Wu
    Boundary Value Problems, 2018
  • [35] Positive solutions for boundary value problem of nonlinear fractional functional differential equations
    Li, Xiaoyan
    Liu, Song
    Jiang, Wei
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 9278 - 9285
  • [36] Positive solution of Hilfer fractional differential equations with integral boundary conditions
    Almalahi, Mohammed A.
    Panchal, Satish K.
    Abdo, Mohammed S.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (04): : 709 - 722
  • [37] On The Existence of Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equations
    Zhao, Yige
    Sun, Shurong
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 682 - 685
  • [38] Positive solutions for a class of integral boundary value condition of fractional differential equations with a parameter
    Yang, Chen
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2710 - 2718
  • [39] Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations
    Zhao, Yige
    Sun, Shurong
    Han, Zhenlai
    Li, Qiuping
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [40] Three nonnegative solutions for fractional differential equations with integral boundary conditions
    Jia, Mei
    Liu, Xiping
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1405 - 1412
12345