# Mathematical description of the ion transport across biological neuron membrane and in biological neuron networks, voltage propagation along neuron axons and dendrites, which uses temporal classic Caputo or Riemann-Liouville fractional partial derivatives

### Abstract

It is shown that the description of the ion transport, across passive or active biological neuron membrane, voltage propagation along neuron axons and dendrites having passive or active membrane and ion transport in biological neuron networks, using classic Caputo or Riemann-Liouville fractional order derivatives, is nonobjective. The basic idea is that different observers using this type of description obtain results which cannot be reconciled, i.e., transformed into each other using only formulas that link the coordinates of a point in two fixed orthogonal reference frames and the numbers representing a moment of time in two different choices of the origin of time measurement. This is not an academic curiosity; it is rather a problem to find which one of the obtained results is correct.