A formulation of the fractional Noether-type theorem for multidimensional Lagrangians |
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| Authors: | Agnieszka B Malinowska |
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| Institution: | Department of Mathematics, Faculty of Computer Science, Bia?ystok University of Technology, 15-351 Bia?ystok, Poland |
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| Abstract: | 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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