| 分数阶微分方程多点边值问题解的存在性 |
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| 引用本文： | 白洁,胡卫敏.分数阶微分方程多点边值问题解的存在性[J].伊犁师范学院学报(自然科学版),2014(2):1-5. |
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| 作者姓名： | 白洁 胡卫敏 |
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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： | 新疆维吾尔自治区自然科学基金项目（201318101-14）. |
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| 摘 要： | 考虑Banach空间中分数阶微分方程多点边值问题解的存在性，用新的非紧性测度估计技巧，在函数满足比较一般的增长条件和非紧性测度条件下，通过凝聚映射不动点定理获得边值问题解的存在性。
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| 关 键 词： | 分数阶微分方程 凝聚映射 非紧性测度 不动点定理 |
Existence of Solutions for Multiple-point Boundary Value Problem of Fractional Differential Equations |
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| BAI Jie,HU Wei-min.Existence of Solutions for Multiple-point Boundary Value Problem of Fractional Differential Equations[J].Journal of Ili Normal University,2014(2):1-5. |
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| Authors: | BAI Jie HU Wei-min |
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| Institution: | (College of Mathematics and Statistic, Yili Normal University, Yining, Xinjiang 835000, China,) |
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| Abstract: | Theexistence of solutions for multiple-point boundary value problem of fractional differential equations in a Banach space was considered. Since a new estimation technique of noncompactness measure was introduced, under more general conditions of growth and noncompachness measure, the existence of solutions was obtained by using the fixed point theorem of condensing mappings. |
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| Keywords: | fractional differential equation condensing mapping noncompactness measure fixed point |
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