Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1080.70516
Rabei, Eqab M.; Alhalholy, Tareq S.; Rousan, Akram
Potentials of arbitrary forces with fractional derivatives. (English)
[J] Int. J. Mod. Phys. A 19, No. 17-18, 3083-3092 (2004). ISSN 0217-751X

Summary: The Laplace transform of fractional integrals and fractional derivatives is used to develop a general formula for determining the potentials of arbitrary forces, conservative and nonconservative, in order to introduce dissipative effects (such as friction) into Lagrangian and Hamiltonian mechanics. The results are found to be in exact agreement with Riewe's results for special cases. Illustrative examples are given.

MSC 2000:: *70H03 Lagrange's equations
70H05 Hamilton's equations
26A33 Fractional derivatives and integrals (real functions)

Keywords: nonconservative systems; Lagrange equations; Laplace transform

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]