Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay

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Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay

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作者：Xiang-Hua Zhai^a ; ^c ; ^{zxh564197szc@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yi Zhang^b ; ^{weidiezh@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{zhy@mail.usts.edu.cn" class="auth_mail" title="E-mail the corresponding author}
关键词：System with time delay ; Fractional Pfaff&ndash ; Birkhoff principle ; Noether symmetry ; Conserved quantity
刊名：Communications in Nonlinear Science and Numerical Simulation
出版年：2016
出版时间：July 2016
年：2016
卷：36
期：Complete
页码：81-97
全文大小：509 K

文摘

•: The fractional Birkhoffian systems with time delay are studied.
•: We propose the fractional Pfaff–Birkhoff principle with time delay.
•: The fractional Birkhoff's equations with time delay are derived.
•: Noether symmetries and conserved quantities with time delay are discussed.
•: Some special cases of the results we obtained are discussed.

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