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.

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Bǎleanu et al. (Sat,) studied this question.

synapsesocial.com/papers/6a1fda0929a41d14deba5311 https://doi.org/https://doi.org/10.1238/physica.regular.072a00119

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Formulation of Hamiltonian Equations for Fractional Variational Problems2005 · 85 citations
2Lagrangians with linear velocities within Riemann-Liouville fractional derivatives2004 · 142 citations
3Discrete-time fractional-order controllers2001 · 243 citations
4Boundary value problems for fractional diffusion equations2000 · 516 citations
5Simple Solutions of the Fractional Dirac Equation of Order 2/32001 · 49 citations