HAMILTON-JACOBI TREATMENT OF LAGRANGIANS WITHIN FRACTIONAL CAPUTO DERIVATIVES

Authors

  • Ali M Qudah Department of Physics, Mu’tah University, Al-Karak, Jordan

DOI:

https://doi.org/10.19044/esj.2013.v9n15p%25p

Abstract

In this work, the Hamilton-Jacobi formulation of fractional Caputo Lagrangians of linear velocities is investigated. The fractional Hamilton-Jacobi equations of motion for several potential systems are derived. Under certain conditions on the potential, it is shown that the action integral is independent on the fractional Caputo derivatives.

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Published

2013-05-31

How to Cite

Qudah, A. M. (2013). HAMILTON-JACOBI TREATMENT OF LAGRANGIANS WITHIN FRACTIONAL CAPUTO DERIVATIVES. European Scientific Journal, ESJ, 9(15). https://doi.org/10.19044/esj.2013.v9n15p%p

Issue

Vol. 9 No. 15 (2013): ESJ May Edition

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.