EXISTENCE OF SOLUTIONS FOR NONLOCAL BOUNDARY VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS ON THE INFINITE INTERVAL

被引：0
|
作者：
Abdellatif Ghendir Aoun [1 ]
机构：
[1] Ecole Normale Supérieure
来源：
Annals of Applied Mathematics | 2017年 / 33卷 / 04期
关键词：
boundary value problem; fractional differential equation; infinite interval; nonlocal condition; fixed point theorem;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
070104 ;
摘要：
In this paper, we study a fractional differential equation;D;+u（t） + f(t, u（t）) = 0, t ∈（0, +∞）satisfying the boundary conditions:u′（0） = 0, limt→+∞;D;u（t） = g（u）,where 1 < α 2,;D;is the standard Caputo fractional derivative of orderα. The main tools used in the paper is a contraction principle in the Banach space and the fixed point theorem due to D. O’Regan. Under a compactness criterion, the existence of solutions are established.
引用
收藏
页码：340 / 352
页数：13
相关论文
共 50 条
  • [1] Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
    Li, Xiaochen
    Liu, Xiping
    Jia, Mei
    Li, Yan
    Zhang, Sha
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1892 - 1904
  • [2] The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
    Xiaochen Li
    Xiping Liu
    Mei Jia
    Luchao Zhang
    [J]. Advances in Difference Equations, 2017
  • [3] The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
    Li, Xiaochen
    Liu, Xiping
    Jia, Mei
    Zhang, Luchao
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [4] On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval
    Shen, Chunfang
    Zhou, Hui
    Yang, Liu
    [J]. BOUNDARY VALUE PROBLEMS, 2015, : 1 - 13
  • [5] On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval
    Chunfang Shen
    Hui Zhou
    Liu Yang
    [J]. Boundary Value Problems, 2015
  • [6] Multiple solutions for a nonlocal fractional boundary value problem with fractional integral conditions on infinite interval
    Aoun, Abdellatif Ghendir
    Djebali, Smail
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (06)
  • [7] EXISTENCE OF SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES
    Cao Labora, Daniel
    Rodriguez-Lopez, Rosana
    Belmekki, Mohammed
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
  • [8] EXISTENCE OF SOLUTIONS FOR A NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEM
    Gao, Zhen
    Wang, Min
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (03) : 831 - 843
  • [9] Existence of solutions for a fractional nonlocal boundary value problem
    Luca, Rodica
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2020, 36 (03) : 453 - 462
  • [10] Existence of positive solutions for nonlocal boundary value problem of fractional differential equation
    Liu, Xiping
    Lin, Legang
    Fang, Haiqin
    [J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1423 - 1432
12345