Existence of solutions for a class of the boundary value problem of fractional q-difference inclusions

被引：1
|
作者：
Jin, Nana [1 ]
Sun, Shurong [1 ]
Chen, Guanwei [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 55卷 / 1-2期
关键词：
Fractional q-difference inclusions; Boundary value problems; Existence of solutions; Fixed point theorem;
D O I：
10.1007/s12190-016-1043-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of solutions for a class of the boundary value problem of fractional q-difference inclusions. By using the basic concepts and properties of fractional q-difference calculus, theory of multivalued maps, together with a nonlinear alternative for contractive maps, the existence result is obtained. Finally, an example is presented to illustrate our main result.
引用
收藏
页码：409 / 420
页数：12
相关论文
共 50 条
  • [21] Successive iteration and positive solutions for boundary value problem of nonlinear fractional q-difference equation
    Yang L.
    Chen H.
    Luo L.
    Luo Z.
    Yang, L. (yangliu19731974@yahoo.com.cn), 1600, Springer Verlag (42): : 89 - 102
  • [22] Positive Solutions for a Three-Point Boundary Value Problem of Fractional Q-Difference Equations
    Yang, Chen
    SYMMETRY-BASEL, 2018, 10 (09):
  • [23] Existence of Solutions for Nonlinear Fractional q-Difference Inclusions with Nonlocal Robin (Separated) Conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (03) : 1333 - 1351
  • [24] 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
  • [25] Existence of Solutions for Nonlinear Fractional q-Difference Inclusions with Nonlocal Robin (Separated) Conditions
    Bashir Ahmad
    Sotiris K. Ntouyas
    Mediterranean Journal of Mathematics, 2013, 10 : 1333 - 1351
  • [26] 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,
  • [27] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS
    Ulke, Oykum
    Topal, Fatma Serap
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 473 - 487
  • [28] Positive Solutions for Three-point Boundary Value Problem of Nonlinear Fractional q-difference Equation
    Yang, Wengui
    KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (02): : 419 - 430
  • [29] The unique iterative positive solution of fractional boundary value problem with q-difference
    Mao, Jinxiu
    Zhao, Zengqin
    Wang, Chenguang
    APPLIED MATHEMATICS LETTERS, 2020, 100
  • [30] 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,
12345