Monotone iterative method for two-point fractional boundary value problems

被引：0
|
作者：
Bo Tang
Jing Zhao
Zhenhai Liu
机构：
[1] Guangxi University for Nationalities,Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences
[2] Qinzhou University,College of Sciences
来源：
Advances in Difference Equations | / 2018卷
关键词：
Riemann–Liouville derivative; Boundary value problem; Upper and lower solutions; Maximal and minimal solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we deal with two-point Riemann–Liouville fractional boundary value problems. Firstly, we establish a new comparison principle. Then, we show the existence of extremal solutions for the two-point Riemann–Liouville fractional boundary value problems, using the method of upper and lower solutions. The performance of the approach is tested through a numerical example.
引用
收藏
相关论文
共 50 条
  • [31] The Epsilon Variation Method in Two-Point Boundary-Value Problems
    Roberts, S. M.
    Shipman, J. S.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1973, 12 (02) : 136 - 151
  • [32] Initialization of two-point boundary value problems and invariant imbedding method
    Zhang, G.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 1996, 76 (Suppl 4):
  • [33] On a finite difference method for singular two-point boundary value problems
    El-Gebeily, MA
    Abu-Zaid, IT
    IMA JOURNAL OF NUMERICAL ANALYSIS, 1998, 18 (02) : 179 - 190
  • [34] Shooting-projection method for two-point boundary value problems
    Filipov, Stefan M.
    Gospodinov, Ivan D.
    Farago, Istvan
    APPLIED MATHEMATICS LETTERS, 2017, 72 : 10 - 15
  • [35] A parametrization method for solving nonlinear two-point boundary value problems
    Dzhumabaev D.S.
    Temesheva S.M.
    Computational Mathematics and Mathematical Physics, 2007, 47 (1) : 37 - 61
  • [36] Monotone method for discrete fractional boundary value problems
    Eralp, Buse
    Topal, Fatma Serap
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 1989 - 1997
  • [37] Variational iteration method for solving two-point boundary value problems
    Lu, Junfeng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) : 92 - 95
  • [38] A Numerical Method for Solving Linear Two-point Boundary Value Problems
    Zhou, Yongxiong
    Xiang, Shuhuang
    ICICTA: 2009 SECOND INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTATION TECHNOLOGY AND AUTOMATION, VOL IV, PROCEEDINGS, 2009, : 501 - 504
  • [39] Correction method and extrapolation method for singular two-point boundary value problems
    Guoqiang, Han
    Jiong, Wang
    Hayami, Ken
    Yuesheng, Xu
    2000, Elsevier Science B.V., Amsterdam, Netherlands (126) : 1 - 2
  • [40] Two-point boundary value problems by the extended Adomian decomposition method
    Jang, Bongsoo
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 219 (01) : 253 - 262
12345