Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/11282
Title: | Hamilton's principle with variable order fractional derivatives | Authors: | Atanackovic T. Pilipović, Stevan |
Issue Date: | 1-Mar-2011 | Journal: | Fractional Calculus and Applied Analysis | Abstract: | 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 |
Appears in Collections: | PMF Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
46
checked on May 10, 2024
Page view(s)
45
Last Week
10
10
Last month
1
1
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.