| 一类含参数的分数阶微分方程边值问题 |
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| 引用本文： | 欧阳敏,钟文勇.一类含参数的分数阶微分方程边值问题[J].吉首大学学报(自然科学版),2015,36(2):16-19. |
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| 作者姓名： | 欧阳敏 钟文勇 |
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| 作者单位： | （吉首大学数学与统计学院，湖南 吉首 416000） |
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| 基金项目： | 湖南省自然科学基金资助项目（11JJ3007）；吉首大学2014年校级科研项目（JDY048） |
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| 摘 要： | 利用不动点定理,研究一类含双参数的Riemann-Liouville型分数阶微分方程多点边值问题正解的存在性及正解的重数,建立了边值问题至少存在1个或3个正解的充分条件.
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| 关 键 词： | 分数阶微分方程 多点边值 正解 参数 不动点 |
Investigation on Multipoint Boundary Value Problems of Fractional Differential Equations with Parameters |
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| OUYANG Min
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ZHONG Wenyong.Investigation on Multipoint Boundary Value Problems of Fractional Differential Equations with Parameters[J].Journal of Jishou University(Natural Science Edition),2015,36(2):16-19. |
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| Authors: | OUYANG Min ZHONG Wenyong |
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| Institution: | (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China) |
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| Abstract: | This paper deals with the existence and multiplicity results of positive solutions to the multipoint boundary value problems of Riemann-Liouville fractional differential equations with two parameters.Using fixed-point theorems,some sufficient conditions are obtained to guarantee the existence of at least one or three solutions to the boundary value problems. |
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| Keywords: | fractional differential equations multipoint boundary value positive solutions parameters fixed points |
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