Fractional Sequential Mechanics - Models with Symmetric Fractional Derivative

Author: Klimek M.1

Source: Czechoslovak Journal of Physics, Volume 51, Number 12, December 2001 , pp. 1348-1354(7)

Publisher: Springer

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

Abstract:

The symmetric fractional derivative is introduced and its properties are studied. The Euler-Lagrange equations for models depending on sequential derivatives of this type are derived using minimal action principle. The Hamiltonian for such systems is introduced following methods of classical generalized mechanics and the Hamilton's equations are obtained. It is explicitly shown that models of fractional sequential mechanics are nonconservative. The limiting procedure recovers classical generalized mechanics of systems depending on higher order derivatives. The method is applied to fractional deformation of harmonic oscillator and to the case of classical frictional force proportional to velocity.

Language: English

Document Type: Regular paper

Affiliations: 1: Institute of Mathematics and Computer Science, Technical University of Czeogonstochowa, ul. Daogonbrowskiego 73, 42-200 Czeogonstochowa, Poland; klimek@matinf.pcz.czest.plstochowa, ul. Daogonbrowskiego 73, 42-200 Czeogonstochowa, Poland; klimek@matinf.pcz.czest.pl">

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$47.00 plus tax      Refund Policy

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A