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

页码：1 / 14

页数：14

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