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

TL;DR

This paper discusses how using Riemann-Liouville or Caputo fractional derivatives in modeling charged particle transport in circuits and neurons compromises the objectivity of the descriptions.

Contribution

It highlights the loss of objectivity when applying these fractional derivatives in biological and electrical transport models.

Findings

Fractional derivatives lead to non-objective descriptions.

Objectivity is crucial for accurate modeling.

Use of classical derivatives preserves objectivity.

Abstract

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.