[1]周燕,张毅.基于Caputo导数的分数阶Pfaff-Birkhoff原理和Birkhoff方程(英文)[J].江西师范大学学报(自然科学版),2014,(02):153-157.
 ZHOU Yan,ZHANG Yi.Fractional Pfaff-Birkhoff Principle and Birkhoff's Equations within Caputo Fractional Derivatives[J].,2014,(02):153-157.
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基于Caputo导数的分数阶Pfaff-Birkhoff原理和Birkhoff方程(英文)()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年02期
页码:
153-157
栏目:
出版日期:
2014-04-30

文章信息/Info

Title:
Fractional Pfaff-Birkhoff Principle and Birkhoff's Equations within Caputo Fractional Derivatives
作者:
周燕;张毅
苏州科技学院数理学院,江苏苏州,215009;苏州科技学院土木工程学院,江苏苏州,215011
Author(s):
ZHOU Yan;ZHANG Yi
关键词:
分数阶Pfaff-Birkhoff原理分数阶Birkhoff方程Caputo分数阶导数横截性条件
Keywords:
fractional Pfaff-Birkhoff principlefractional Birkhoff's equationCaputo fractional derivativetransversality condition
分类号:
O176;O316
文献标志码:
A
摘要:
研究了在Caputo分数阶导数下的分数阶Pfaff-Birkhoff变分问题.首先给出了Caputo分数阶导数的定义,以及相应的分部积分公式和交换关系,其次建立了分数阶Pfaff-Birkhoff原理和分数阶Birkhoff方程,最后举例说明结果的应用.
Abstract:
The fractional Pfaff-Birkhoff variational problem is studied under Caputo fractional derivative.First,the definition of Caputo fractional derivatives,the formula for integration by parts and the commutative relations between differential operation and variational operation are given.Second,the fractional Pfaff-Birkhoff principle and the fractional Birkhoff's equations are obtained.And finally an example is given to illustrate the application of the results.

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备注/Memo

备注/Memo:
国家自然科学基金(10972151,11272227);江苏省普通高校研究生科研创新计划(CXZZ11_0949);苏州科技学院研究生科研创新计划(SKCX11S_050)
更新日期/Last Update: 1900-01-01