On a Leibnitz-type fractional derivative
arXiv:1202.2714
Abstract
A type of fractional derivative, referred to as α-derivative, is studied. The α-derivative of fractional type obeys Leibnitz rule. Based on the definition of α-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.
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 Thus, the statement of the manuscript contains an error and the manuscript was withdrawn