Extended fractional calculus of variations, complexified geodesics and Wong’s fractional equations on complex plane and on Lie algebroids

El-Nabulsi, Ahmad Rami

Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 65 (2011) no. 1.

Résumé

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.

Détail

Keywords: Extended fractional calculus, complex plane, complex Lie algebroids

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