| 一类分数阶微分方程积分边值问题正解的存在性 |
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| 作者姓名： | Xiping Liu Guiyun Wu |
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| 作者单位： | College of Science,University of Shanghai for Science and Technology |
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| 基金项目： | supported by Natural Science Foundation of China(No.11171220);Support Projects of University of Shanghai for Science and Technology(No.14XPM01) |
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| 摘 要： | In this paper,we concern ourselves with the existence of positive solutions for a type of integral boundary value problem of fractional differential equations with the fractional order linear derivative operator. By using the fixed point theorem in cone,the existence of positive solutions for the boundary value problem is obtained. Some examples are also presented to illustrate the application of our main results.
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| 关 键 词： | fractional differential equations Riemann-Liouville fractional derivative fixed point theorem fractional order linear derivative operator |
| 收稿时间： | 2014/6/27 0:00:00 |
Existence of positive solutions for integral boundary value problem of fractional differential equations |
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| Xiping Liu,Guiyun Wu.Existence of positive solutions for integral boundary value problem of fractional differential equations[J].Journal of Shanghai Normal University(Natural Sciences),2014,43(5):496-505. |
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| Authors: | Xiping Liu Guiyun Wu |
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| Abstract: | In this paper,we concern ourselves with the existence of positive solutions for a type of integral boundary value problem of fractional differential equations with the fractional order linear derivative operator. By using the fixed point theorem in cone,the existence of positive solutions for the boundary value problem is obtained. Some examples are also presented to illustrate the application of our main results. |
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| Keywords: | fractional differential equations Riemann-Liouville fractional derivative fixed point theorem fractional order linear derivative operator |
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