Existence of solutions for nonlinear fractional q-difference equations with Riemann-Liouville type q-derivatives

被引：15
|
作者：
Jiang M. [1 ]
Zhong S. [1 ]
机构：
[1] School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan
来源：
Journal of Applied Mathematics and Computing | 2015年 / 47卷 / 1-2期
关键词：
Boundary value problems; Existence of solutions; Fractional q-difference equations; p-Laplacian operator;
D O I：
10.1007/s12190-014-0784-3
中图分类号：
学科分类号：
摘要：
In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal integral boundary conditions involving the fractional q-derivative of the Riemann-Liouville type, and the nonlinear term contains a fractional q-derivative. By means of Bananch’s contraction mapping principle, Schauder’s fixed-point theorem and an extension of Krasnoselskii’s fixed point theorem in a cone, some existence results for the solutions are obtained. Finally, examples are presented to illustrate our main results. © 2014, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：429 / 459
页数：30
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