Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations

被引：81
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [2 ]
Purnaras, Ioannis K. [2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
fractional q-difference equations; nonlocal boundary conditions; existence; Leray-Schauder nonlinear alternative; fixed point; POSITIVE SOLUTIONS; Q-INTEGRALS;
D O I：
10.1186/1687-1847-2012-140
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach's contraction principle, Krasnoselskii's fixed-point theorem, and the Leray-Schauder nonlinear alternative. Some illustrating examples are also discussed.
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页数：15
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