Fractional derivative generalization of Noether’s theorem

Maryam Khorshidi; Mehdi Nadjafikhah; Hossein Jafari

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.

How to cite

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Maryam Khorshidi, Mehdi Nadjafikhah, and Hossein Jafari. "Fractional derivative generalization of Noether’s theorem." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/276401>.

@article{MaryamKhorshidi2015,
abstract = {The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.},
author = {Maryam Khorshidi, Mehdi Nadjafikhah, Hossein Jafari},
journal = {Open Mathematics},
keywords = {Fractional derivatives; Symmetry; Fractional variational calculus; Fractional Euler–Lagrange equations; Conservation laws; Noether’s theorem},
language = {eng},
number = {1},
pages = {null},
title = {Fractional derivative generalization of Noether’s theorem},
url = {http://eudml.org/doc/276401},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Maryam Khorshidi
AU - Mehdi Nadjafikhah
AU - Hossein Jafari
TI - Fractional derivative generalization of Noether’s theorem
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.
LA - eng
KW - Fractional derivatives; Symmetry; Fractional variational calculus; Fractional Euler–Lagrange equations; Conservation laws; Noether’s theorem
UR - http://eudml.org/doc/276401
ER -

References

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