On a Leibnitz-type fractional derivative
Mathematical Physics
2017-09-28 v3 math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
A type of fractional derivative, referred to as \alpha-derivative, is studied. The \alpha-derivative of fractional type obeys Leibnitz rule. Based on the definition of \alpha-derivative the operations of analysis and differential geometry are studied It was recently proved, that this variant of introduction of the derivative leads to a new scaling of the common Leibniz derivative, but not to a alternative type of derivation. In other words, all derivatives, that satisfy the Leibniz rule, are algebraically equivalent.
Keywords
Cite
@article{arxiv.1202.2714,
title = {On a Leibnitz-type fractional derivative},
author = {V. V. Kobelev},
journal= {arXiv preprint arXiv:1202.2714},
year = {2017}
}
Comments
The definition of the derivative leads to a common derivative. The fractional derivative can not satisfy the ordinary Leibniz rule. Thus, the statement of the manuscript contains an error and the manuscript was withdrawn