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：
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
    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
    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
    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
    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
    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
    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
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
  • [8] EXISTENCE OF SOLUTIONS FOR A NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEM
    Gao, Zhen
    Wang, Min
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (03) : 831 - 843
  • [9] Existence of solutions for a fractional nonlocal boundary value problem
    Luca, Rodica
    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
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1423 - 1432
12345