Existence Results for Impulsive Fractional q-Difference Equation with Antiperiodic Boundary Conditions

被引：6
作者：
Zuo, Mingyue [1 ]
Hao, Xinan [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
BLOW-UP SOLUTIONS; SCHRODINGER-EQUATION; POSITIVE SOLUTIONS; NONEXISTENCE; INTEGRALS; SYSTEM;
D O I：
10.1155/2018/3798342
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the impulsive fractional q-difference equation with antiperiodic conditions. The existence and uniqueness results of solutions are established via the theorem of nonlinear alternative of Leray-Schauder type and the Banach contraction mapping principle. Two examples are given to illustrate our results.
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页数：9
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共 33 条
  • [1] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES
    AGARWAL, RP
    [J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 : 365 - &
  • [2] Ahmad B., 2016, BOUNDARY VALUE PROBL
  • [3] SOME FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES
    ALSALAM, WA
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1966, 15 : 135 - &
  • [4] q-Fractional Calculus and Equations Preface
    Ismail, Mourad
    [J]. Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : IX - +
  • [5] [Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892
  • [6] [Anonymous], 1985, NONLINEAR FUNCTIONAL
  • [7] Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
    Bai, Zhanbing
    Dong, Xiaoyu
    Yin, Chun
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
  • [8] Baleanu D., 2012, SERIES COMPLEXITY, V3
  • [9] Infinitely many solutions for a boundary value problem with impulsive effects
    Bonanno, Gabriele
    Di Bella, Beatrice
    Henderson, Johnny
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [10] Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses
    Chen, Anping
    Chen, Yi
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2011,
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