Boundary Value Problems of Nonlinear Fractional q-Difference (Integral) Equations with Two Fractional Orders and Four-point Nonlocal Integral Boundary Conditions

被引：25

作者：

Ahmad, Bashir ^{[1
]}

Nieto, Juan J. ^{[1
,2
]}

Alsaedi, Ahmed ^{[1
]}

Al-Hutami, Hana ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

FILOMAT | 2014年 / 28卷 / 08期

关键词：

Fractional q-difference equations; nonlocal boundary conditions; existence; Leray Schauder nonlinear alternative; fixed point; POSITIVE SOLUTIONS; Q-DERIVATIVES; EXISTENCE; INCLUSIONS;

D O I：

10.2298/FIL1408719A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of solutions for nonlinear fractional q-difference equations and q-difference integral equations involving two fractional orders with four-point nonlocal integral boundary conditions. The existence results are obtained by applying some traditional tools of fixed point theory, and are illustrated with examples.

引用

页码：1719 / 1736

页数：18

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