Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1104.70012
Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru
The Hamilton formalism with fractional derivatives. (English)
[J] J. Math. Anal. Appl. 327, No. 2, 891-897 (2007). ISSN 0022-247X

Summary: Recently the traditional calculus of variations has been extended to be applicable to systems containing fractional derivatives. In this paper the passage from the Lagrangian containing fractional derivatives to the Hamiltonian is achieved. The Hamilton's equations of motion are obtained in a similar manner to the usual mechanics. In addition, the classical fields with fractional derivatives are investigated using Hamiltonian formalism. Two discrete problems and one continuous are considered to demonstrate the application of the formalism, and the results obtained are in exact agreement with Agrawal formalism.

MSC 2000:: *70H05 Hamilton's equations
26A33 Fractional derivatives and integrals (real functions)

Keywords: Lagrangian formulation; Agrawal formalism

Cited in: Zbl 1156.70012

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]