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Hamilton-Jacobi Fractional Sequential Mechanics

Mathematical Physics 2015-05-13 v1 math.MP

Abstract

As a continuation of Rabei et al. work [11], the Hamilton- Jacobi partial differential equation is generalized to be applicable for systems containing fractional derivatives. The Hamilton- Jacobi function in configuration space is obtained in a similar manner to the usual mechanics. Two problems are considered to demonstrate the application of the formalism. The result found to be in exact agreement with Agrawal's formalism.

Keywords

Cite

@article{arxiv.0704.0519,
  title  = {Hamilton-Jacobi Fractional Sequential Mechanics},
  author = {Eqab M. Rabei and Bashar S. Ababneh},
  journal= {arXiv preprint arXiv:0704.0519},
  year   = {2015}
}

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12 pages