This paper investigates the role of fractional calculus in data fitting. We show that while the Caputo and Atangana-Baleanu fractional derivatives can be applied successfully in data fitting, this might not be true for the conformable derivative. The conformable derivative results in an unnecessarily complicated differential equation that warrants the use of numerical methods, thus compromises the quality of the solutions in data fitting.

中文翻译：

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数据拟合中的分数演算

本文研究了分数演算在数据拟合中的作用。我们表明，尽管Caputo和Atangana-Baleanu分数导数可以成功地应用于数据拟合，但对于顺形导数可能并非如此。一致的导数会导致不必要的复杂微分方程，从而保证使用数值方法，从而损害了数据拟合中解决方案的质量。