| 一类分数阶微分方程组的L~p稳定性 |
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| 引用本文： | 张同斌,张宏伟.一类分数阶微分方程组的L~p稳定性[J].北京工商大学学报(自然科学版),2009,27(5):68-69,77. |
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| 作者姓名： | 张同斌 张宏伟 |
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| 作者单位： | 河南工业大学,理学院,河南,郑州,450001 |
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| 基金项目： | 河南省自然科学基金资助项目 |
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| 摘 要： | 讨论了一类分数阶微分方程组的Lp稳定性,给出了分数阶微分方程组在有限时间情况下Lp稳定的充分条件,其主要是利用了一类特殊卷积的性质.
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| 关 键 词： | 分数阶微分方程组 Lp稳定性 卷积 |
L~p-STABILITY OF A CLASS NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS |
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| ZHANG Tong-bin,ZHANG Hong-wei.L~p-STABILITY OF A CLASS NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(5):68-69,77. |
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| Authors: | ZHANG Tong-bin ZHANG Hong-wei |
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| Institution: | ZHANG Tong-bin,ZHANG Hong-wei (College of Sciences,Henan University of Technology,Zhengzhou 450001,China) |
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| Abstract: | The Lp-stability analysis of a class nonlinear fractional differential equations are considered.Sufficient conditions for the Lp-stability of the fractional system are presented in the case of finite time.The proofs mainly based on the properties of a special convolution product. |
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| Keywords: | fractional differential equations Lp-stability convolution product |
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