| 一类广义分数阶时间迟滞微分方程的一些结果 |
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| 引用本文： | 魏谞婷,卢旋珠.一类广义分数阶时间迟滞微分方程的一些结果[J].福州大学学报(自然科学版),2010,38(2). |
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| 作者姓名： | 魏谞婷 卢旋珠 |
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| 作者单位： | 福州大学数学与计算机科学学院; |
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| 基金项目： | 福建省教育厅科研资助项目(JB07018) |
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| 摘 要： | 研究一类更广义的分数阶时间迟滞微分方程,证明了此方程的解的存在唯一性以及解的连续性,分别运用步长法和Laplace变换法得出了方程的解.在此基础上,得出了此类方程有限稳定的一个充分条件.
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| 关 键 词： | 微分方程 分数阶导数 步长法 Laplace变换 有限稳定性 |
Some results of a generalized fractional order time-delay equation |
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| WEI Xu-ting,LU Xuan-zhu.Some results of a generalized fractional order time-delay equation[J].Journal of Fuzhou University(Natural Science Edition),2010,38(2). |
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| Authors: | WEI Xu-ting LU Xuan-zhu |
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| Institution: | College of Mathematics and Computer Science;Fuzhou University;Fuzhou;Fujian 350108;China |
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| Abstract: | In this paper,a generalized fractional order time-delay equation was considerd. The existence and uniqueness of the solution of the equation was proved,and the solution was also continuous in the domain. We separately apply the step method and Laplace transform method to obtain the solution of the equation,further more,a sufficient condition of finite time stability of the equation was gotten. |
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| Keywords: | differential equation fractional order derivative steps method Laplace transform method finite time stability |
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