| 分数阶微分方程反周期边值问题解的存在性与唯一性 |
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| 引用本文： | 张宁,史小艺,薛婷婷.分数阶微分方程反周期边值问题解的存在性与唯一性[J].贵州师范大学学报(自然科学版),2012,30(1):42-45. |
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| 作者姓名： | 张宁 史小艺 薛婷婷 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221116 |
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| 摘 要： | 研究了一类分数阶微分方程反周期边值问题,在连续函数f：0,T]×R→R满足一定条件下,利用不动点定理得到了分数阶微分方程反周期边值问题解的存在性与唯一性,并举例说明了结论的适用性.
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| 关 键 词： | 分数阶微分方程 反周期边值问题 不动点定理 |
Existence and uniqueness of solutions for anti-periodic fractional boundary value problems |
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| ZHANG Ning,SHI Xiao-yi,XUE Ting-ting.Existence and uniqueness of solutions for anti-periodic fractional boundary value problems[J].Journal of Guizhou Normal University(Natural Sciences),2012,30(1):42-45. |
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| Authors: | ZHANG Ning SHI Xiao-yi XUE Ting-ting |
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| Institution: | (College of sciences,China University of Mining & Technology,Xuzhou,Jiangsu 221116,China) |
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| Abstract: | This paper discusses a class of anti-periodic fractional boundary value problems.As the continuous function f:×R→R can meet certain conditions,the existence and uniqueness of solutions for anti-periodic fractional boundary value problems are obtained by applying the fixed point theorem.In the end,several examples are given to illustrate the results. |
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| Keywords: | Fractional differential equations Anti-periodic boundary value problems Fixed point theorem |
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