| 分数阶微分方程反周期边值问题解的存在性 |
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| 引用本文： | 周宗福,贾宝瑞. 分数阶微分方程反周期边值问题解的存在性[J]. 安徽大学学报(自然科学版), 2011, 0(1): 1-4 |
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| 作者姓名： | 周宗福 贾宝瑞 |
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| 作者单位： | 安徽大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771001); 安徽省教育厅自然科学基金资助项目(KJ2009A005Z,KJ2010ZD02,2010SQRL159); 安徽大学创新团队基金资助项目 |
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| 摘 要： | 分数阶微分方程边值问题具有良好的理论价值和广泛的应用背景,一直吸引不少学者对其进行研究.反周期边值问题是边值问题中重要的一类.作者利用Krasnoselskii不动点定理和一些分析技巧,研究一类分数阶微分积分方程反周期边值问题,获得了反周期边值问题解存在的一个充分条件.与以往的结果相比较,论文中所得的条件容易验证,在一定程度上推广了已有的结论.
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| 关 键 词： | 分数阶 微分积分方程 反周期边值问题 不动点定理 |
Existence of solution for anti-periodic boundary value problem of fractional differential equation |
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| ZHOU Zong-fu,JIA Bao-rui. Existence of solution for anti-periodic boundary value problem of fractional differential equation[J]. Journal of Anhui University(Natural Sciences), 2011, 0(1): 1-4 |
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| Authors: | ZHOU Zong-fu JIA Bao-rui |
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| Affiliation: | ZHOU Zong-fu,JIA Bao-rui(School of Mathematical Sciences,Anhui University,Hefei 230039,China) |
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| Abstract: | The boundary value problem of fractional differential equations had attracted many authors to study this subject,due to its valuable theory and widely applied background.Anti-periodic boundary value problem was an important class of it.In this paper,by employing of Krasnoselskii fixed point theorem and some analysis techniques,we studied the anti-periodic boundary value problem for a kind of fractional integral-differential equation.A sufficient condition for the existence of anti-periodic boundary value pr... |
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| Keywords: | fractional order integral-differential equations anti-periodic boundary value problem fixed point theorem |
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