| 分数阶奇异微分方程初值问题正解的存在性 |
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| 引用本文： | 张淑琴. 分数阶奇异微分方程初值问题正解的存在性[J]. 数学学报, 2007, 50(4): 813-822. DOI: CNKI:SUN:SXXB.0.2007-04-013 |
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| 作者姓名： | 张淑琴 |
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| 作者单位： | 中国矿业大学(北京)理学院数学系 北京100083 |
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| 摘 要： | 分数阶微分方程解的存在性问题近年来引起了许多人的关注,本文考察了一个非线性分数阶奇异微分方程初值问题正解的存在性,我们的结果削弱了Babakhani, Varsha的假设条件,并要求其非线性项具有一定程度的奇异性．
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| 关 键 词： | Riemann-Liouville分数阶导数 奇异 分数阶微分方程 |
| 文章编号： | 0583-1431（2007）04-0813-10 |
| 收稿时间： | 2006-01-09 |
| 修稿时间： | 2006-01-09 |
Existence of Positive Solution for a Singular Initial Value Problem for Fractional Differential Equation |
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| Shu Qin ZHANG. Existence of Positive Solution for a Singular Initial Value Problem for Fractional Differential Equation[J]. Acta Mathematica Sinica, 2007, 50(4): 813-822. DOI: CNKI:SUN:SXXB.0.2007-04-013 |
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| Authors: | Shu Qin ZHANG |
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| Affiliation: | Department of Mathematics, China University of Mining and Technology, Beijing 100083 P. R. China |
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| Abstract: | The existence of solutions for differential equations of fractional order have been of great interesting,in this paper,we investigate the existence of positive solu- tion for a singular initial value problem for fractional differential equation,our result weakens the assumptions of Babakhani,Varsha,and let the nonlinear term has some singulars. |
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| Keywords: | Riemann-Liouville fractional derivative singular differential equations of fractional order |
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