Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems

被引：14

作者：

Etemad, Sina ^{[1
]}

Ntouyas, Sotiris K. ^{[2
,3
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Azarshahr, Tabriz, Iran

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 03期

关键词：

fractional q-difference equation and inclusion; boundary value problem; existence; fixed point theorem; DIFFERENTIAL-EQUATIONS;

D O I：

10.3934/math.2019.3.997

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of solutions for nonlinear fractional q-difference equations and inclusions. We apply some known fixed point theorems to prove the existence results. Finally, some illustrative examples are presented to state the validity of our main results.

引用

页码：997 / 1018

页数：22

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