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

DOI10.2478/v10062-011-0005-6zbMath1241.49029OpenAlexW2023126964MaRDI QIDQ2890373

Ahmad Rami El-Nabulsi

Publication date: 8 June 2012

Published in: Annales UMCS, Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/31ffb11de770f2bef9f0ebfd38f5da19f2e27bc1

zbMATH Keywords

complex planecomplex Lie algebroidsextended fractional calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15) Variational principles of physics (49S05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (4)

Calculus of variations with hyperdifferential operators from Tabasaki-Takebe-Toda lattice arguments ⋮ Non-standard fractional Lagrangians ⋮ Fractional variational problems from extended exponentially fractional integral ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications

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