Existence results for impulsive fractional q-difference equations with anti-periodic boundary conditions

被引：4
|
作者：
Ahmad, Bashir [1 ]
Tariboon, Jessada [2 ]
Ntouyas, Sotiris K. [1 ,3 ]
Alsulami, Hamed H. [1 ]
Monaquel, Shatha [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
[2] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand
[3] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
BOUNDARY VALUE PROBLEMS | 2016年
关键词：
quantum calculus; impulsive fractional q-difference equations; existence; uniqueness; fixed point theorem; POSITIVE SOLUTIONS;
D O I：
10.1186/s13661-016-0521-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies a Caputo type anti-periodic boundary value problem of impulsive fractional q-difference equations involving a q-shifting operator of the form (a)Phi(q)(m) = qm + (1 - q)a. Concerning the existence of solutions for the given problem, two theorems are proved via Schauder's fixed point theorem and the Leray-Schauder nonlinear alternative, while the uniqueness of solutions is established by means of Banach's contraction mapping principle. Finally, we discuss some examples illustrating the main results.
引用
收藏
页码：1 / 14
页数：14
相关论文
共 50 条
  • [1] Existence results for impulsive fractional q-difference equations with anti-periodic boundary conditions
    Bashir Ahmad
    Jessada Tariboon
    Sotiris K Ntouyas
    Hamed H Alsulami
    Shatha Monaquel
    Boundary Value Problems, 2016
  • [2] Existence Results for Impulsive Fractional q-Difference Equation with Antiperiodic Boundary Conditions
    Zuo, Mingyue
    Hao, Xinan
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [3] Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions
    Zhao, Yulin
    Chen, Haibo
    Zhang, Qiming
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [4] Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions
    Yulin Zhao
    Haibo Chen
    Qiming Zhang
    Advances in Difference Equations, 2013
  • [5] On Solvability of Fractional (p,q)-Difference Equations with (p,q)-Difference Anti-Periodic Boundary Conditions
    Agarwal, Ravi P.
    Al-Hutami, Hana
    Ahmad, Bashir
    MATHEMATICS, 2022, 10 (23)
  • [6] A coupled system of fractional difference equations with anti-periodic boundary conditions
    Jonnalagadda, Jagan Mohan
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (02): : 387 - 398
  • [7] Impulsive fractional q-integro-difference equations with separated boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    Alsaedi, Ahmed
    Alsulami, Hamed H.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 281 : 199 - 213
  • [8] Existence results for anti-periodic boundary value problems of fractional differential equations
    Chai, Guoqing
    ADVANCES IN DIFFERENCE EQUATIONS, 2013, : 1 - 15
  • [9] Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Purnaras, Ioannis K.
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [10] Existence results for anti-periodic boundary value problems of fractional differential equations
    Guoqing Chai
    Advances in Difference Equations, 2013
12345