Comments on “The Minkowski's space–time is consistent with differential geometry of fractional order” [Phys. Lett. A 363 (2007) 5–11

Abstract

Abstract We prove that Eq. (3.6) for fractional-order derivative of power function and the usual Leibniz rule (3.7) in the form D α ( v ( x ) u ( x ) ) = ( D α v ( x ) ) u ( x ) + v ( x ) ( D α u ( x ) ) , which are based relations of the considered paper, cannot hold together for fractional derivatives of order α ≠ 1 . We also prove that the usual Leibniz rule with α ≠ 1 cannot hold for sets of differentiable and non-differentiable functions.