文章基本信息

标题：Existence of solutions for fractional q -difference equation with mixed nonlinear boundary 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：326
DOI：10.1186/1687-1847-2014-326
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By means of the Guo-Krasnosel’skii fixed point theorem on cones, some results concerning the existence of solutions are obtained. Finally, examples are presented to illustrate our main results. MSC:39A13, 34B18, 34A08.
关键词：fractional q -difference equations ; mixed nonlinear conditions ; fixed point theorem in cones ; existence of solutions