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- W2964275635 startingPage "2367" @default.
- W2964275635 abstract "The aim of this paper is to bring together two approaches to non-conservative systems -- the generalized variational principle of Herglotz and the fractional calculus of variations. Namely, we consider functionals whose extrema are sought, by differential equations that involve Caputo fractional derivatives. The Euler--Lagrange equations are obtained for the fractional variational problems of Herglotz-type and the transversality conditions are derived. The fractional Noether-type theorem for conservative and non-conservative physical systems is proved." @default.
- W2964275635 created "2019-07-30" @default.
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- W2964275635 date "2014-01-01" @default.
- W2964275635 modified "2023-10-03" @default.
- W2964275635 title "Fractional variational principle of Herglotz" @default.
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- W2964275635 doi "https://doi.org/10.3934/dcdsb.2014.19.2367" @default.
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