| 非线性分数阶微分方程三点边值问题mild解的存在性 |
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| 引用本文： | 白洁,胡卫敏,曹竟文. 非线性分数阶微分方程三点边值问题mild解的存在性[J]. 伊犁师范学院学报(自然科学版), 2014, 0(4): 7-13 |
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| 作者姓名： | 白洁 胡卫敏 曹竟文 |
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| 作者单位： | 伊犁师范学院数学与统计学院,新疆伊宁835000 |
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| 基金项目： | 伊犁师范学院研究生科研创新项目（2014YSY024）. |
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| 摘 要： | 研究Banach空间下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、Darb0不动点定理及Monch不动点定理，得到了此类方程的mild解存在的几个充分条件，所得结果推广了一些已有的结论．
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| 关 键 词： | 分数阶微分方程 格林函数 不动点定理 mild解 边值问题 |
Existence of Mild Solutions for Multiple-point Boundary Value Problem of Nonlinear Fractional Differential Equations |
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| BAI Jie,HU Wei-min,CAO Jing-wen. Existence of Mild Solutions for Multiple-point Boundary Value Problem of Nonlinear Fractional Differential Equations[J]. Journal of Ili Normal University, 2014, 0(4): 7-13 |
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| Authors: | BAI Jie HU Wei-min CAO Jing-wen |
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| Affiliation: | (College of Mathematics and Statistic, Yili Normal University, Yining, Xinjiang 835000, China) |
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| Abstract: | This paper is concerned with class of nonlinear differential equations with boundary value conditions in Banach space. By using the Green＇s functions, theory of noncompactness, Dorbo and Monch fixed point theorem, existence results of mild solutions are obtained, which improve and generalize some previous results. |
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| Keywords: | fractional differential equation Green function fixed point theorem mild solution boundaryvalue problem |
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