Regression Coefficient Derivation via Fractional Calculus Framework | Zendy

Muath Awadalla | Zendy; Yves Yannick Yameni Noupoue | Zendy; Yücel Tandoğdu | Zendy; Kinda Abuasbeh | Zendy

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Regression Coefficient Derivation via Fractional Calculus Framework

Author(s) -

Muath Awadalla,

Yves Yannick Yameni Noupoue,

Yücel Tandoğdu,

Kinda Abuasbeh

Publication year - 2022

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2022/1144296

Subject(s) - mathematics , fractional calculus , simple (philosophy) , quadratic equation , calculus (dental) , connection (principal bundle) , linear regression , regression , constant coefficients , regression analysis , mathematical analysis , statistics , medicine , philosophy , geometry , dentistry , epistemology

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.

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