Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

2005/01/01 by Dumitru Bǎleanu, D. Baleanu, Sami I. Muslih +1 · 4 citations
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Mathematical and Theoretical Analysis #Numerical methods for differential equations #hep-th

paper · pdf · doi:10.1238/physica.regular.072a00119

published as PHYSICA SCRIPTA 72 (2-3): 119-121 (2005) · 9 pages

openalex publication_date 2005/01/01 · arxiv created 2005/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The classical fields with fractional derivatives are investigated by using the fractional Lagrangian formulation. The fractional Euler-Lagrange equations were obtained and two examples were studied.

Citations

• Physical degrees of freedom of non-local theories
• Linear Models of Dissipation whose Q is almost Frequency Independent--II
• Fractional Differential Equations

Cited by

• Fractional bosonic strings
• Fractional damped oscillators and fractional forced oscillators
• Fractional calculus of variations for a combined Caputo derivative
• Fractional Hamiltonian analysis of higher order derivatives systems