| Riemann-Liouville分数阶微积分的定义及其性质 |
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| 引用本文： | 靳丹丹,马芳芳,么焕民. Riemann-Liouville分数阶微积分的定义及其性质[J]. 哈尔滨师范大学自然科学学报, 2011, 27(3): 20-22 |
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| 作者姓名： | 靳丹丹 马芳芳 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： | 作为微积分理论的发展,分数阶微积分的概念早已提出,实际应用的介入为它注入了新的生机.分数阶微积分成为研究分数阶微分方程,分形函数的有力工具,它被应用于分形集合、分形函数、分形PDE、函数空间等领域,近年来分数阶微积分被广泛的应用到建立各种数学模型.
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| 关 键 词： | Riemann-Liouville分数阶微积分 分数阶微分 分数阶积分 |
Definition of Rimann-Liouville Fractional Calculus and Its Properties |
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| Jin Dandan , Ma Fangfang , Yao Huanmin. Definition of Rimann-Liouville Fractional Calculus and Its Properties[J]. Natural Science Journal of Harbin Normal University, 2011, 27(3): 20-22 |
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| Authors: | Jin Dandan Ma Fangfang Yao Huanmin |
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| Affiliation: | (Harbin Normal University) |
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| Abstract: | With the deveiopment the theorem of differential and integral calculus,the fraction-order differential and integral calculus concept has been put forward for a long time,and its practical application makes it vigorous.Fractional calculus is a powerful tool to research fractional order differential equations and the fractal function.It is used in fractal set,fractal function,fractal PDE,function space and other fields,and it is also widely used to establish various mathematical model in recent years. |
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| Keywords: | Rimann-Liouville Fractional Calculus Fractional differential Fractional integral |
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