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Zbl 1166.58304
Baleanu, Dumitru
New applications of fractional variational principles.
(English)
[J] Rep. Math. Phys. 61, No. 2, 199-206 (2008). ISSN 0034-4877

Summary: The fractional variational principles of constrained systems involving Riesz derivatives are discussed and one example is analyzed in detail. The fractional Euler-Lagrange equations of two fractional Lagrangians which differ by a fractional Riesz derivative are investigated.
MSC 2000:
*58E30 Variational principles on infinite-dimensional spaces
26A33 Fractional derivatives and integrals (real functions)
70H03 Lagrange's equations
70H05 Hamilton's equations

Keywords: fractional Lagrangian and Hamiltonian; Riesz derivatives; dissipative systems

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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