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https://open.uns.ac.rs/handle/123456789/11282
Nаziv: | Hamilton's principle with variable order fractional derivatives | Аutоri: | Atanackovic T. Pilipović, Stevan |
Dаtum izdаvаnjа: | 1-мар-2011 | Čаsоpis: | Fractional Calculus and Applied Analysis | Sažetak: | We propose a generalization of Hamilton's principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler-Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation. Necessary conditions for the existence of the minimizer are obtained. They imply various known results in a special cases. © 2011 Diogenes Co., Sofia. | URI: | https://open.uns.ac.rs/handle/123456789/11282 | ISSN: | 13110454 | DOI: | 10.2478/s13540-011-0007-7 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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