dorsal/arxiv
View SchemaExtending Bauer's corollary to fractional derivatives
| Authors | David W. Dreisigmeyer, Peter M. Young |
|---|---|
| Categories | |
| ArXiv ID | physics/0312085 |
| URL | https://arxiv.org/abs/physics/0312085 |
| DOI | 10.1088/0305-4470/37/11/L01 |
| Journal | Journal of Physics A: Mathematical and General, 37(11), L117-121, 2004 |
Abstract
We comment on the method of Dreisigmeyer and Young [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems with fractional derivatives. It was previously hoped that using fractional derivatives in an action would allow us to derive a single retarded equation of motion using a variational principle. It is proven that, under certain reasonable assumptions, the method of Dreisigmeyer and Young fails.
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"abstract": "We comment on the method of Dreisigmeyer and Young [D. W. Dreisigmeyer and P.\nM. Young, J. Phys. A \\textbf{36}, 8297, (2003)] to model nonconservative\nsystems with fractional derivatives. It was previously hoped that using\nfractional derivatives in an action would allow us to derive a single retarded\nequation of motion using a variational principle. It is proven that, under\ncertain reasonable assumptions, the method of Dreisigmeyer and Young fails.",
"arxiv_id": "physics/0312085",
"authors": [
"David W. Dreisigmeyer",
"Peter M. Young"
],
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"doi": "10.1088/0305-4470/37/11/L01",
"journal_ref": "Journal of Physics A: Mathematical and General, 37(11), L117-121,\n 2004",
"title": "Extending Bauer\u0027s corollary to fractional derivatives",
"url": "https://arxiv.org/abs/physics/0312085"
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