Existence results for fractional q -difference equations with nonlocal q -integral boundary conditions

Advances in Difference Equations

Haibo Chen¹  Qiming Zhang²  Yulin Zhao² 

[1] Department of Mathematics, Central South University, Changsha, China;School of Science, Hunan University of Technology, Zhuzhou, China

关键词: fractional q-difference equation;    nonlocal boundary value problems;    existence;    positive solutions;   

DOI  :  10.1186/1687-1847-2013-48

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii’s fixed point theorem, some existence results of positive solutions are obtained. In addition, some examples to illustrate our results are given. MSC:39A13, 34B18, 34A08.

【 授权许可】

CC BY