| Caputo分数阶导数的稳定数值逼近 |
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| 引用本文： | 傅鹏. Caputo分数阶导数的稳定数值逼近[J]. 兰州大学学报(自然科学版), 2008, 44(6) |
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| 作者姓名： | 傅鹏 |
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| 作者单位： | 广东省电信规划设计院有限公司,广东广州510630;西安交通大学电子与信息工程学院,陕西,西安,710049 |
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| 摘 要： | 给出了一种新的、简单方便的正则化方法，得到了很强的收敛性估计，且数值例子验证了理论结果的正确性．
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| 关 键 词： | 数值分数阶微分 Caputo分数阶导数 不适定问题 正则化 误差估计 |
Stable numerical approximation for Caputo fractional derivatives |
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| Fu Peng. Stable numerical approximation for Caputo fractional derivatives[J]. Journal of Lanzhou University(Natural Science), 2008, 44(6) |
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| Authors: | Fu Peng |
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| Abstract: | The computation of Caputo fractional derivatives,as an ill-posed problem,was treated with a very simple regularization method.The HSlder type error estimate was given and the numerical example showed that the method worked well. |
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| Keywords: | numerical fractional differentiation Caputo fractional derivative ill-posed problem regularization error estimate |
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