WHAT IS THE BEST FRACTIONAL DERIVATIVE TO FIT DATA?

被引：38

作者：

Almeida, Ricardo ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2017年 / 11卷 / 02期

关键词：

Fractional.alculus; modelling; optimization;

D O I：

10.2298/AADM170428002A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：358 / 368

页数：11

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