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arxiv: 1203.2107 · v1 · pith:HF7U6UL3new · submitted 2012-03-09 · 🧮 math.OC

A formulation of the fractional Noether-type theorem for multidimensional Lagrangians

classification 🧮 math.OC
keywords fractionalnoether-typetheoremapproachconservativederivativeequationseuler-lagrange
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This paper presents the Euler-Lagrange equations for fractional variational problems with multiple integrals. The fractional Noether-type theorem for conservative and nonconservative generalized physical systems is proved. Our approach uses well-known notion of the Riemann-Liouville fractional derivative.

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