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.
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页码：1 / 14
页数：14
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