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.ojs-doi-10_17951_a_2011_65_1_49-67,
author = {Ahmad Rami El-Nabulsi},
title = {Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {65},
year = {2011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_1_49-67}
}
Ahmad Rami El-Nabulsi. Extended fractional calculus of variations, complexified geodesics and Wong’s fractional equations on complex plane and on Lie algebroids. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_1_49-67/
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