The Hamilton formalism with fractional derivatives
The Hamilton formalism with fractional derivatives
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DOI：
10.1016/j.jmaa.2006.04.076
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发表时间：
2007-03-15
影响因子：
1.3
通讯作者：
Baleanu, Dumitru
中科院分区：
文献类型：
--
作者：
Rabei, Eqab M.;Nawafleh, Khaled I.;Baleanu, Dumitru
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. (c) 2006 Elsevier Inc. All rights reserved.
