| 一类变号奇异分数阶边值问题的正解 |
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| 引用本文： | 谢馥芬.一类变号奇异分数阶边值问题的正解[J].数学的实践与认识,2012,42(23). |
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| 作者姓名： | 谢馥芬 |
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| 作者单位： | 兰州商学院信息工程学院,甘肃兰州,730020 |
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| 摘 要： | 通过构造修正函数并结合降阶法,得到了一类变号奇异分数阶微分方程边值问题多个正解的存在性,其中,非线性项含有未知函数的分数阶导数且允许变号最后也给出一个例子说明主要结果的应用.
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| 关 键 词： | 分数阶微分方程 不动点定理 正解 变号 |
Positive Solutions of a Sign-changing Singular Fractional Order Boundary Value Problems |
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| XIE Fu-fen.Positive Solutions of a Sign-changing Singular Fractional Order Boundary Value Problems[J].Mathematics in Practice and Theory,2012,42(23). |
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| Authors: | XIE Fu-fen |
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| Abstract: | In this paper,by constructing a modified function and combining with reducing order method,we obtain the existence of multiple positive solutions for a singular changing-sign fractional order differential equation,where the nonlinear term contains fractional derivatives of unknown functions and allow to change sign.We also give an example to illuminate the application of main results. |
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| Keywords: | fractional order differential equation fixed point theorem positive solution changing-sign |
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