| Banach空间中一类分数阶微分方程边值问题 |
| |
| 引用本文： | 董琪翔,毋光先,李姣.Banach空间中一类分数阶微分方程边值问题[J].纯粹数学与应用数学,2013(1):1-10. |
| |
| 作者姓名： | 董琪翔 毋光先 李姣 |
| |
| 作者单位： | 1. 扬州大学数学科学学院,江苏 扬州 225002
2. 焦作师范高等专科学校数学系,河南 焦作 454001 |
| |
| 基金项目： | 国家自然科学基金(10971182);江苏省自然科学基金(BK2009179,BK2010309);江苏省高校自然科学基金(09KJB110010) |
| |
| 摘 要： | 研究Banach空间中一类非线性分数阶微分方程边值问题.构建此类方程的Green函数,利用非紧测度和相关的不动点定理,得到了此类方程的mild解存在的几个充分条件,所得结果改进和推广了一些已有的结论.
|
| 关 键 词： | 分数阶积分 分数阶导数 微分方程 边值问题 mild解 |
Boundary value problem for a class of fractional differential equations in Banach spaces |
| |
| Dong Qixiang,Wu Guangxian,Li Jiao.Boundary value problem for a class of fractional differential equations in Banach spaces[J].Pure and Applied Mathematics,2013(1):1-10. |
| |
| Authors: | Dong Qixiang Wu Guangxian Li Jiao |
| |
| Institution: | 1(1.School of Mathematical Science,Yangzhou University,Yangzhou 225002,China;2.Department of Mathematics,Jiaozuo Normal College,Jiaozuo 454001,China) |
| |
| Abstract: | This paper is concerned with a class of nonlinear differential equations with boundary value conditions in Banach spaces. By using the Green＇s function, theory of measure of noncompactness and fixed point theorem, existence results of mild solutions are obtained, which improve and generalize some previous results. |
| |
| Keywords: | fractional order integral fractional order derivative differential equation boundary value problem mild solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
