| Grunwald-Letnikov分数阶导数的理论分析 |
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| 引用本文： | 马芳芳,靳丹丹,么焕民. Grunwald-Letnikov分数阶导数的理论分析[J]. 哈尔滨师范大学自然科学学报, 2011, 27(3): 32-34 |
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| 作者姓名： | 马芳芳 靳丹丹 么焕民 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 黑龙江省教育厅面上基金项目资助(12511155) |
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| 摘 要： | 通过整数阶导数的定义给出了Grunwald - Letnikov分数阶导数定义以及幂函数的分数阶导数的表达式.研究并指明分数阶导数也有与整数阶类似的性质,线性与莱布尼茨法则,得出结论:在一定条件下,分数阶导数与整数阶导数可交换,给出了具体实例.
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| 关 键 词： | 分数阶导数 莱布尼茨法则 |
Theory Analysis of Grunwald-Letnikov Fractional Derivative |
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| Ma Fangfang , Jin Dandan , Yao Huanmin. Theory Analysis of Grunwald-Letnikov Fractional Derivative[J]. Natural Science Journal of Harbin Normal University, 2011, 27(3): 32-34 |
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| Authors: | Ma Fangfang Jin Dandan Yao Huanmin |
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| Affiliation: | (Harbin Normal University) |
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| Abstract: | in this article,through the integer order derivative definition, the Grunwald-Letnikov fractional derivative definition as well as the power function’s fractional derivative mathematical expressions are given,the fractional derivative with integer order of similar nature,linear and Leibniz law are studied.So the conclusions are got: under certain conditions,fractional derivative and integral derivative can be exchanged. |
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| Keywords: | Fractional derivative Leibniz law |
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