English

What is the best fractional derivative to fit data?

Other Statistics 2017-04-04 v1

Abstract

The aim of this work is to show, based on concrete data observation, that the choice of the fractional derivative when modelling a problem is relevant for the accuracy of a method. Using the least squares fitting technique, we determine the order of the fractional differential equation that better describes the experimental data, for different types of fractional derivatives.

Keywords

Cite

@article{arxiv.1704.00609,
  title  = {What is the best fractional derivative to fit data?},
  author = {Ricardo Almeida},
  journal= {arXiv preprint arXiv:1704.00609},
  year   = {2017}
}

Comments

This is a preprint of a paper whose final and definite form is with "Applicable Analysis and Discrete Mathematics"