In this work, we communicate the topic of complex Lie algebroids based on the extended fractional calculus of variations in the complex plane. The complexified Euler-Lagrange geodesics and Wong's fractional equations are derived. Many interesting consequences are explored.
@article{bwmeta1.element.doi-10_2478_v10062-011-0005-6,
author = {Ahmad El-Nabulsi},
title = {Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids},
journal = {Annales UMCS, Mathematica},
volume = {65},
year = {2011},
pages = {49-67},
zbl = {1241.49029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0005-6}
}
Ahmad El-Nabulsi. Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids. Annales UMCS, Mathematica, Tome 65 (2011) pp. 49-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0005-6/
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