基于Riemann-Liouville导数的分数阶Pfaff-Birkhoff原理和分数阶Birkhoff方程

被引：5

作者：

周燕 ^{[1
]}

张毅 ^{[2
]}

机构：

[1] 苏州科技学院数理学院

[2] 苏州科技学院土木工程学院

来源：

科技通报 | 2013年 / 29卷 / 03期

关键词：

Riemann-Liouville分数阶导数; 分数阶Pfaff-Birkhoff原理; 分数阶Birkhoff方程; 横截性条件;

D O I：

10.13774/j.cnki.kjtb.2013.03.045

中图分类号：

O172.1 [微分学];

学科分类号：

摘要：

研究分数阶Pfaff-Birkhoff变分问题。列写出Riemann-Liouville分数阶导数的定义及其有关性质。建立了基于Riemann-Liuville分数阶导数的分数阶Pfaff-Birkhoff原理,并由分数阶Pfaff-Birkhoff原理推导出了分数阶Birkhoff方程及其横截性条件。研究表明:整数阶Pfaff-Birkhoff原理和Birkhoff方程是本文结果的特例。文末举例说明结果的应用。

引用

页码：4 / 10

页数：7

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