4.7 Article

A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives

Journal

Publisher

ELSEVIER
DOI: 10.1016/j.cnsns.2009.05.023

Keywords

Fractional Lagrangians; Fractional calculus; Fractional Caputo derivative; Fractional Euler-Lagrange equations; Faa di Bruno formula

Funding

  1. Scientific and Technical Research Council of Turkey

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In this paper, we have investigated the fractional Caputo derivative of a composition function. The obtained results were applied to investigate the fractional Euler-Lagrange and Hamilton equations for constrained systems. The approach was applied within an illustrative. (C) 2009 Elsevier B.V. All rights reserved.

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