文章基本信息

标题：Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces
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作者：Weidong Lv ; Jishe Feng
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：184
DOI：10.1186/1687-1847-2014-184
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with the existence of a unique solution to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. Under certain suitable nonlinear growth conditions imposed on the nonlinear term, the existence and uniqueness result is established by using the Banach contraction mapping principle. Additionally, two representative examples are presented to illustrate the effectiveness of the main result. MSC:26A33, 39A05, 39A10, 39A12.
关键词：discrete fractional mixed type sum-difference equation ; boundary value problem ; Banach space ; existence and uniqueness ; Banach contraction mapping principle