TY - JOUR
T1 - Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
AU - Jia, Qiuli
AU - Wu, Huibin
AU - Mei, Fengxiang
N1 - Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2016/10/15
Y1 - 2016/10/15
N2 - In this paper Noether symmetries and conserved quantities for fractional forced Birkhoffian systems are studied. Firstly, a new fractional Pfaff-Birkhoff variational principle with Riemann-Liouville derivatives and generalized force is established. And from which the fractional forced Birkhoff equations are derived. Secondly, the definitions and the criteria of the invariance of a functional under an ε-parameter group of infinitesimal transformations are given. Finally, the fractional Noether theorems for forced Birkhoffian systems are obtained. And an illustrative example is presented.
AB - In this paper Noether symmetries and conserved quantities for fractional forced Birkhoffian systems are studied. Firstly, a new fractional Pfaff-Birkhoff variational principle with Riemann-Liouville derivatives and generalized force is established. And from which the fractional forced Birkhoff equations are derived. Secondly, the definitions and the criteria of the invariance of a functional under an ε-parameter group of infinitesimal transformations are given. Finally, the fractional Noether theorems for forced Birkhoffian systems are obtained. And an illustrative example is presented.
KW - Fractional Noether theorem
KW - Fractional Pfaff-Birkhoff variational principle
KW - Fractional conserved quantity
KW - Fractional forced Birkhoffian system
UR - http://www.scopus.com/inward/record.url?scp=84966615427&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2016.04.067
DO - 10.1016/j.jmaa.2016.04.067
M3 - Article
AN - SCOPUS:84966615427
SN - 0022-247X
VL - 442
SP - 782
EP - 795
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -