GUO Caixia,GUO Jianmin,KANG Shugui,et al.On a Caputo fractional boundary value problem for fractional boundary conditions[J].Journal of Yanbian University,2013,39(03):188-191.
带有分数阶边界条件的一类Caputo差分方程边值问题
- Title:
- On a Caputo fractional boundary value problem for fractional boundary conditions
- 文章编号:
- 1004-4353(2013)03-0188-04
- 关键词:
- 离散型; Caputo边值问题; 分数阶边值条件; 格林函数
- 分类号:
- O175.8
- 文献标志码:
- A
- 摘要:
- 运用分数阶的基本定义和引理,讨论了一类带有分数阶边界条件的离散Caputo分数阶差分方程边值问题的格林函数,并给出了υ=2时格林函数的几个重要性质.
- Abstract:
- Green’s function of a discrete Caputo fractional boundary value problem for fractional boundary conditions is discussed by applying some fractional basic definitions and lemmas. Meanwhile, we give some important properties of Green’s function in υ=2.
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备注/Memo
收稿日期: 2013-04-12
作者简介: 郭彩霞(1980—),女,讲师,研究方向为非线性泛函分析.
基金项目: 国家自然科学基金资助项目(11271235); 山西省十二五规划课题(ZJ-12001); 山西大同大学教改项目(XJY-2012211)