No Violation of the Leibniz Rule. No Fractional Derivative

Abstract

We demonstrate that a violation of the Leibniz rule is a characteristic property of derivatives of non-integer orders. We prove that all fractional derivatives D^a, which satisfy the Leibniz rule D^(fg)=(D^a f) g + f (D^a g), should have the integer order a=1, i.e. fractional derivatives of non-integer orders cannot satisfy the Leibniz rule.

6 pages

References in corpus (1)

• Review of Some Promising Fractional Physical Models

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