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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
The Hamilton formalism with fractional derivatives
Journal of Mathematical Analysis and Applications, Volume 327, No. 2, Year 2007
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Description
Recently the traditional calculus of variations has been extended to be applicable for 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, the results are obtained to be in exact agreement with Agrawal's formalism. © 2006 Elsevier Inc. All rights reserved.
Authors & Co-Authors
Rabei, Eqab M.
Jordan, Karak
Mutah University
Jordan, Jerash
Jerash Private University
Nawafleh, Khaled I.
Jordan, Karak
Mutah University
Hijjawi, Raed S.
Jordan, Karak
Mutah University
Muslih, Sami I.
Palestine, Gaza
Al-azhar University of Gaza
Bǎleanu, Dumitru I. I.
Turkey, Ankara
Çankaya Üniversitesi
Statistics
Citations: 197
Authors: 5
Affiliations: 4
Identifiers
Doi:
10.1016/j.jmaa.2006.04.076
ISSN:
0022247X
e-ISSN:
10960813