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arXiv · 1202.2714

On a Leibnitz-type fractional derivative

V. V. Kobelev
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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.

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V. V. Kobelev. 2012-02-13. On a Leibnitz-type fractional derivative. https://arxiv.org/abs/1202.2714

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