| 一类奇异分数阶微分方程正解的存在性 |
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| 引用本文： | 王春来,侯成敏.一类奇异分数阶微分方程正解的存在性[J].延边大学理工学报,2012(1):1-6. |
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| 作者姓名： | 王春来 侯成敏 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 基金项目： | 国家自然科学基金资助项目（11161049） |
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| 摘 要： | 研究了一类奇异非线性分数阶微分方程的边值问题.首先给出了该问题的格林函数和其所满足的一些性质,然后利用Krasuoselskii锥上的不动点定理和Leray-Schauder选择定理,建立了该方程至少存在1个正解的充分性条件.
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| 关 键 词： | 正解的存在性 分数阶微分方程 不动点 锥 |
Existence of positive solution for a class of singular fractional differential equations |
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| WANG Chun-lai,HOU Cheng-min.Existence of positive solution for a class of singular fractional differential equations[J].Journal of Yanbian University (Natural Science),2012(1):1-6. |
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| Authors: | WANG Chun-lai HOU Cheng-min |
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| Affiliation: | (Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China) |
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| Abstract: | We study the boundary value problem for a class of singular fractional differential equations.We first derive the Green＇s function for the boundary value problem and show that Green＇s function satisfies some properties.Second,by using nonlinear alternative of Leray-Schauder type and Krasnoselskii＇s fixed point theorem in a cone,some sufficient conditions of existence of at least one positive solution are established. |
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| Keywords: | existence of positive solution fractional differential equation fixed point cone |
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