| 非线性半正分数阶微分方程多重正解的存在性 |
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| 引用本文： | 许晓婕. 非线性半正分数阶微分方程多重正解的存在性[J]. 科学技术与工程, 2010, 10(35) |
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| 作者姓名： | 许晓婕 |
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| 作者单位： | 中国石油大学(华东),数学与计算科学学院,青岛,266555 |
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| 摘 要： | 本文应用Krasnoselskii不动点定理研究了分数阶微分方程的多重正解的存在性 其中 是任意实数， 是标准的Riemann-Liouville型分数阶微分。
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| 关 键 词： | 正解；分数阶微分方程；半正边值问题； 锥不动点定理。 |
| 收稿时间： | 2010-09-25 |
| 修稿时间： | 2010-10-11 |
Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential |
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| xuxiaojie. Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential[J]. Science Technology and Engineering, 2010, 10(35) |
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| Authors: | xuxiaojie |
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| Affiliation: | XU Xiao-jie(School of Mathematics and Computational Science,China University of Petroleum(East China),Qingdao 266555,P.R.China) |
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| Abstract: | The existence of multiple positive solutions of an fractional differential equation of the form are obtained, where is a real number, and is the standard Riemann-Liouville differentiation. The proof relies on Krasnoselskii's fixed point theorem. |
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| Keywords: | Positive solutions Fractional differential equation Semipositone boundary value problems Krasnoselskii's fixed point theorem. |
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