Journal
APPLIED MATHEMATICS LETTERS
Volume 25, Issue 11, Pages 1941-1946Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2012.03.006
Keywords
Calculus of variation; Fractional calculus; Fractional Euler-Lagrange equation; Fractional Noether-type theorem; Conservative and nonconservative systems
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Funding
- Bialystok University of Technology [S/WI/2/2011]
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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. (C) 2012 Elsevier Ltd. All rights reserved.
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