If the charged particle transport phenomenon in electrical circuits or in biological neurons is described using Riemann-Liouville or Caputo fractional order derivatives, then objectivity is lost

Research paper by Agneta M. Balint, Stefan Balint

Indexed on: 29 Jul '18Published on: 29 Jul '18Published in: arXiv - Quantitative Biology - Neurons and Cognition


In this paper the objectivity of the description of charged particles transport in electrical circuits, in biological neurons and biological neuron-networks is discussed. It is shown that the use of Riemann-Liouville or Caputo fractional order derivatives leads to the loose of the description objectivity.