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About fractional quantization and fractional variational principles

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Date

2009

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Matematik
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Abstract

in this paper, a new method of finding the fractional Euler-Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Fad di Bruno formula. The fractional Euler-Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed. (C) 2008 Elsevier B.V. All rights reserved.

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Fractional Variational Principles, Fractional Systems, Infinite-Dimensional Systems, Hamiltonian Systems

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Citation

Baleanu, Dumitru (2009). "About fractional quantization and fractional variational principles", Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 6, pp. 2520-2523.

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Source

Communications in Nonlinear Science and Numerical Simulation

Volume

14

Issue

6

Start Page

2520

End Page

2523