Regression Coefficient Derivation via Fractional Calculus Framework. (9th April 2022)

• Record Type: Journal Article
• Authors: Awadalla, Muath; Noupoue, Yves Yannick Yameni; Tandogdu, Yucel; Abuasbeh, Kinda
• Other Names: Kaplan Melike Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-04-09
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/1144296
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : This study focuses on deriving coefficients of a simple linear regression model and a quadratic regression model using fractional calculus. The work has proven that there is a smooth connection between fractional operators and classical operators. Moreover, it has also been shown that the least squares method is classically used to obtain coefficients of linear and quadratic models that are viewed as special cases of the more general fractional derivative approach which is proposed.