Description of Mechanical Movements Using Fractional Order Derivatives is not Objective

Abstract

The papers deals with the objectivity in science. It aims at objectively describing the material particle movement and the movement of a continuum body. This is followed by the Riemann-Liouville, Caputo and Cherbirt fractional order derivatives presentation. In the next part the loss of description objectivity due to the use of fractional order derivatives is presented. Finally, some recent papers proposing the use of the fractional order derivatives instead of the integer order derivatives in the description of some physical phenomena are cited.

Keywords

• objectivity of a mathematical description
• mechanical movement description
• fractional order derivative