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On Fractional Hamilton Formulation Within Caputo Derivatives

[+] Author Affiliations
Dumitru Baleanu

Cankaya University Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Sami I. Muslih

Al-Azhar University, Gaza, Palestine, Israel

Eqab M. Rabei

Mutah University, Karak, Jordan

Paper No. DETC2007-34812, pp. 1335-1339; 5 pages
doi:10.1115/DETC2007-34812
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles produce fractional Euler-Lagrange equations and fractional Hamiltonian equations. The fractional dynamics strongly depends of the fractional integration by parts as well as the non-locality of the fractional derivatives. In this paper we present the fractional Hamilton formulation based on Caputo fractional derivatives. One example is treated in details to show the characteristics of the fractional dynamics.

Copyright © 2007 by ASME

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