Extended fractional calculus of variations, complexified geodesics and Wong’s fractional equations on complex plane and on Lie algebroids
Ahmad Rami El-Nabulsi (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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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.