EXISTENCE OF THREE POSITIVE SOLUTIONS FOR A CLASS OF RIEMANN-LIOUVILLE FRACTIONAL Q-DIFFERENCE EQUATION

被引：4
|
作者：
Kang, Shugui [1 ]
Chen, Huiqin [1 ]
Li, Luping [1 ]
Cui, Yaqiong [1 ]
Ma, Shiwang [2 ,3 ]
机构：
[1] Shanxi Datong Univ, Sch Math & Stat, Xingyun St, Datong 037009, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fractional q-integral of the Riemann-Liouville; fractional q-derivative of the Riemann-Liouville; fixed point theorem; fractional q-difference equation; positive solutions;
D O I：
10.11948/2156-907X.20180118
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we confirm the existence of three positive solutions for a class of Riemann-Liouville fractional q-difference equation which satisfies the boundary conditions. We gain several sufficient conditions for the existence of three positive solutions of this boundary value problem by applying the Leggett-Williams fixed point theorem.
引用
收藏
页码：590 / 600
页数：11
相关论文
共 50 条
  • [31] Existence of Solutions for Riemann-Liouville Fractional Dirichlet Boundary Value Problem
    Li, Zhiyu
    IRANIAN JOURNAL OF SCIENCE, 2025, 49 (01) : 161 - 167
  • [32] Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
    Xinhui Li
    Zhenlai Han
    Shurong Sun
    Ping Zhao
    Advances in Difference Equations, 2014
  • [33] Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation
    Anh, Pham The
    Czornik, Adam
    Niezabitowski, Michal
    ARCHIVES OF CONTROL SCIENCES, 2024, 34 (03): : 569 - 588
  • [34] Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
    Li, Xinhui
    Han, Zhenlai
    Sun, Shurong
    Zhao, Ping
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [35] Existence of solutions for a class of the boundary value problem of fractional q-difference inclusions
    Nana Jin
    Shurong Sun
    Guanwei Chen
    Journal of Applied Mathematics and Computing, 2017, 55 : 409 - 420
  • [36] Existence and regularity of solutions for evolution equations with Riemann-Liouville fractional derivatives
    Fan, Zhenbin
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2014, 25 (03): : 516 - 524
  • [37] Existence of solutions for a class of the boundary value problem of fractional q-difference inclusions
    Jin, Nana
    Sun, Shurong
    Chen, Guanwei
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 55 (1-2) : 409 - 420
  • [38] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS
    Ulke, Oykum
    Topal, Fatma Serap
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 473 - 487
  • [39] Fractional Ince equation with a Riemann-Liouville fractional derivative
    Parra-Hinojosa, Alfredo
    Gutierrez-Vega, Julio C.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (22) : 10695 - 10705
  • [40] Fractional Langevin equation and Riemann-Liouville fractional derivative
    Kwok Sau Fa
    The European Physical Journal E, 2007, 24 : 139 - 143
12345