文章基本信息

标题：Boundary value problems for fractional q -difference equations with nonlocal conditions
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作者：Xinhui Li ; Zhenlai Han ; Shurong Sun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：57
DOI：10.1186/1687-1847-2014-57
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fractional q-derivative of Caputo type. By means of Bananch’s contraction mapping principle and Schaefer’s fixed-point theorem, some existence results for the solutions are obtained. Finally, examples are presented to illustrate our main results. MSC:39A13, 34B18, 34A08.
关键词：fractional q -difference equations ; boundary value problems ; existence of solutions