DING Jinfeng, ZHANG Yi. Noether Symmetries for El-Nabulsi-Pfaff Variational Problem from Extended Exponentially Fractional Integral[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2014,53(6):150-154.
DING Jinfeng, ZHANG Yi. Noether Symmetries for El-Nabulsi-Pfaff Variational Problem from Extended Exponentially Fractional Integral[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2014,53(6):150-154.DOI:
the Noether symmetries and the conserved quantities for the variational problem of Birkhoffian system from extended exponentially fractional integral are presented and studied. Firstly
the El-Nabulsi-Pfaff-Birkhoff variational problem from extended exponentially fractional integral is presented
then the corresponding El-NabulsiBirkhoff equations are derived. Secondly
the definitions and the criteria of the Noether symmetric transformations and the Noether quasi-symmetric transformations of the system are given
which are based on the invariance of El-Nabulsi-Pfaff action under the infinitesimal transformations of group. Finally
the Noether theorem for the variational problem of Birkhoffian system from extended exponentially fractional integral is established
which reveals the inner relationship between a Noether symmetry and a conserved quantity. An example is given to illustrate the application of the results.