Positive Solutions of the Discrete Fractional Relaxation Equation Using Lower and Upper Solutions

被引：0
|
作者：
Sangeeta Dhawan [1 ]
Jagan Mohan Jonnalagadda [1 ]
机构：
[1] Birla Institute of Technology and Science Pilani,Department of Mathematics
来源：
International Journal of Applied and Computational Mathematics | 2024年 / 10卷 / 5期
关键词：
Relaxation equation; Fractional difference; Lower and upper solutions; Positive solution; Existence; Uniqueness; 39A12; 26A33; 39A60;
D O I：
10.1007/s40819-024-01777-7
中图分类号：
学科分类号：
摘要：
This article establishes sufficient conditions for the existence and uniqueness of positive solutions to the discrete fractional relaxation equation using some well-known fixed-point theorems. The lower and upper solution approach serves as the foundation for the analysis. The findings are demonstrated by two numerical examples.
引用
收藏
相关论文
共 50 条
  • [21] UPPER AND LOWER BOUNDS FOR SOLUTIONS TO TRANSPORT EQUATION
    FINLAYSO.BA
    SCRIVEN, LE
    AICHE JOURNAL, 1966, 12 (06) : 1151 - &
  • [22] Upper and lower solutions method and a fractional differential equation boundary value problem.
    Shi, Ailing
    Zhang, Shuqin
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (30) : 1 - 13
  • [23] UPPER AND LOWER SOLUTIONS METHODS FOREXISTENCE OF PERIODIC SOLUTIONS OFDUFFING EQUATION
    WANG Chengwen (Institute of Mathematics
    Systems Science and Mathematical Sciences, 1999, (01) : 1 - 7
  • [24] Positive solutions for discrete fractional intiail value problem
    Haghi, Tahereh
    Ghanbari, Kazem
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2016, 4 (04): : 285 - 297
  • [25] METHOD OF UPPER AND LOWER SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Lin, Legang
    Liu, Xiping
    Fang, Haiqin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [26] The Iterative Properties for Positive Solutions of a Tempered Fractional Equation
    Zhang, Xinguang
    Chen, Peng
    Tian, Hui
    Wu, Yonghong
    FRACTAL AND FRACTIONAL, 2023, 7 (10)
  • [27] Positive solutions of the nonlinear Schrodinger equation with the fractional Laplacian
    Felmer, Patricio
    Quaas, Alexander
    Tan, Jinggang
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2012, 142 (06) : 1237 - 1262
  • [28] The existence of positive solutions for the singular fractional differential equation
    Jiang W.
    Huang X.
    Guo W.
    Zhang Q.
    Jiang, W. (weihuajiang@hebust.edu.cn), 1600, Springer Verlag (41): : 171 - 182
  • [29] Uniqueness of Positive Solutions for a Perturbed Fractional Differential Equation
    Yang, Chen
    Zhang, Jieming
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [30] EXISTENCE OF POSITIVE SOLUTIONS FOR A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
    Maagli, Habib
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
12345