Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems

被引：14
|
作者：
Etemad, Sina [1 ]
Ntouyas, Sotiris K. [2 ,3 ]
机构：
[1] Azarbaijan Shahid Madani Univ, Dept Math, Azarshahr, Tabriz, Iran
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
来源：
AIMS MATHEMATICS | 2019年 / 4卷 / 03期
关键词：
fractional q-difference equation and inclusion; boundary value problem; existence; fixed point theorem; DIFFERENTIAL-EQUATIONS;
D O I：
10.3934/math.2019.3.997
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of solutions for nonlinear fractional q-difference equations and inclusions. We apply some known fixed point theorems to prove the existence results. Finally, some illustrative examples are presented to state the validity of our main results.
引用
收藏
页码：997 / 1018
页数：22
相关论文
共 50 条
  • [21] Existence of solutions of boundary value problems for singular fractional q-difference equations
    Ma, Kuikui
    Sun, Shurong
    Han, Zhenlai
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 54 (1-2) : 23 - 40
  • [22] Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems
    Lulu Zhang
    Shurong Sun
    Boundary Value Problems, 2019
  • [23] Positive solution for q-fractional four-point boundary value problems with p-Laplacian operator
    Yuan, Qiaozhen
    Yang, Wengui
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [24] Positive solution for q-fractional four-point boundary value problems with p-Laplacian operator
    Qiaozhen Yuan
    Wengui Yang
    Journal of Inequalities and Applications, 2014
  • [25] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION THREE-POINT BOUNDARY VALUE PROBLEMS
    Sun, Yan
    Yan, Kai
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (04): : 939 - 949
  • [26] Existence of solutions for a class of fractional boundary value problems via critical point theory
    Jiao, Feng
    Zhou, Yong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1181 - 1199
  • [27] Existence of solutions for nonlinear fractional three-point boundary value problems at resonance
    Zhang Y.
    Bai Z.
    Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 417 - 440
  • [28] Existence of positive solutions for two-point boundary value problems of nonlinear fractional q-difference equation
    Caixia Guo
    Jianmin Guo
    Ying Gao
    Shugui Kang
    Advances in Difference Equations, 2018
  • [29] Existence of positive solutions for two-point boundary value problems of nonlinear fractional q-difference equation
    Guo, Caixia
    Guo, Jianmin
    Gao, Ying
    Kang, Shugui
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [30] Existence of solutions for q-fractional differential equations with nonlocal Erdelyi-Kober q-fractional integral condition
    Jiang, Min
    Huang, Rengang
    AIMS MATHEMATICS, 2020, 5 (06): : 6537 - 6551
12345