| 非线性分数阶泛函微分方程解的延拓(英文) |
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| 引用本文： | 李晓艳,蒋威.非线性分数阶泛函微分方程解的延拓(英文)[J].中国科学技术大学学报,2011(6). |
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| 作者姓名： | 李晓艳 蒋威 |
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| 作者单位： | 安徽大学数学科学学院; |
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| 基金项目： | Supported by National Natural Science Foundation of China(11071001); Research Fund for the Doctoral Program of China(No.2009 3401110001); Natural Science Foundation of Anhui Province(KJ2010ZD02); Program of Natural Science Researchin Anhui Universities(KJ2011A020) |
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| 摘 要： | 研究了分数阶泛函微分方程有关解的延拓理论.主要利用了分数阶泛函微分方程解的表达式给出方程解的可延拓条件.分别给出了含有无穷时滞和有限时滞的微分方程解的延拓定理.
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| 关 键 词： | 分数阶导数 泛函微分方程 解的延拓 |
Continuation of solutions to fractional order functional nonlinear equations |
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| LI Xiaoyan,JIANG Wei.Continuation of solutions to fractional order functional nonlinear equations[J].Journal of University of Science and Technology of China,2011(6). |
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| Authors: | LI Xiaoyan JIANG Wei |
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| Institution: | LI Xiaoyan,JIANG Wei(School of Mathematical Science,Anhui University,Hefei,Anhui,230601,China) |
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| Abstract: | The continuation theory for the fractional order functional nonlinear equations was established based on the existence theory for these equations.The continuation theorem of these equations with infinite and finite delay were given. |
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| Keywords: | fractional order functional differential equation continuation of solutions |
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