| 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： | 方海琴,刘锡平,林乐刚.分数阶微分方程反周期边值问题解的存在性[J].山东大学学报(理学版),2012,47(6):5-9,15. |
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| 作者姓名： | 方海琴 刘锡平 林乐刚 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市教委科研创新基金重点项目(10ZZ93);国家自然科学基金资助项目(11171220) |
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| 摘 要： | 研究了一类在非线性项中含有未知函数分数导数的分数阶微分方程反周期边值问题解的存在性。利用Schauder不动点定理及压缩映射原理,在非线性项有界和无界的情况下,分别研究了反周期边值问题解存在的条件,最后得到了关于分数微分方程反周期的多个存在性定理。
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| 关 键 词： | 分数阶微分方程 反周期边值问题 压缩映射原理 |
Existence of a solution for anti-periodic boundary value problems of fractional differential equations |
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| FANG Hai-qin,LIU Xi-ping,LIN Le-gang.Existence of a solution for anti-periodic boundary value problems of fractional differential equations[J].Journal of Shandong University,2012,47(6):5-9,15. |
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| Authors: | FANG Hai-qin LIU Xi-ping LIN Le-gang |
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| Institution: | (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | The existence of solutions for anti-periodic boundary value problems of fractional differential equations are studied which include fractional derivatives of unknown function in the nonlinear term.In the case of the nonlinear term bounded and unbounded,the existence conditions of anti-periodic boundary value problems by means of Schauder fixed point theorem and contraction mapping principle are studied.Some existence results for the anti-periodic boundary value problems are obtained. |
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| Keywords: | fractional differential equations anti-periodic boundary value problems contraction mapping principle |
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