Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval

被引：66
|
作者：
Wang, Guotao [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 47卷
关键词：
Explicit iteration; Unbounded solution; Fractional integral boundary condition; Error estimate; Infinite interval; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.aml.2015.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By employing the monotone iterative technique, we not only establish the existence of the unique solution for a fractional integral boundary value problem on semi-infinite intervals, but also develop an explicit iterative sequence for approximating the solution and give an error estimate for the approximation, which is an important improvement of existing results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 7
页数：7
相关论文
共 50 条
  • [1] Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval
    Abdellatif Boutiara
    Maamar Benbachir
    Mohammed K. A. Kaabar
    Francisco Martínez
    Mohammad Esmael Samei
    Melike Kaplan
    [J]. Journal of Inequalities and Applications, 2022
  • [2] Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
    Boutiara, Abdellatif
    Benbachir, Maamar
    Kaabar, Mohammed K. A.
    Martinez, Francisco
    Samei, Mohammad Esmael
    Kaplan, Melike
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [3] Unbounded Solutions for a Fractional Boundary Value Problems on the Infinite Interval
    Zhao, Xiangkui
    Ge, Weigao
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (02) : 495 - 505
  • [4] Unbounded Solutions for a Fractional Boundary Value Problems on the Infinite Interval
    Xiangkui Zhao
    Weigao Ge
    [J]. Acta Applicandae Mathematicae, 2010, 109 : 495 - 505
  • [5] 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)
  • [6] Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval
    Hao, Xinan
    Sun, Hui
    Liu, Lishan
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (16) : 6984 - 6996
  • [7] Multiple unbounded solutions for a boundary value problem on infinite intervals
    Lian, Hairong
    Geng, Fengjie
    [J]. BOUNDARY VALUE PROBLEMS, 2011, : 1 - 8
  • [8] Multiple unbounded solutions for a boundary value problem on infinite intervals
    Hairong Lian
    Fengjie Geng
    [J]. Boundary Value Problems, 2011
  • [9] On positive solutions for am-point fractional boundary value problem on an infinite interval
    Caballero, J.
    Harjani, J.
    Sadarangani, K.
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3635 - 3647
  • [10] EXISTENCE OF SOLUTIONS FOR NONLOCAL BOUNDARY VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS ON THE INFINITE INTERVAL
    Abdellatif Ghendir Aoun
    [J]. Annals of Applied Mathematics, 2017, 33 (04) : 340 - 352
12345