Computational performance of a generalized descent gradient method based algorithm with conformable fractional-order derivatives

In this paper, we perform an analysis of the Descent Gradient Method (DGM) within the context of the conformable fractional derivatives. We explore the mathematical properties of functions with continuous Lipschitz gradients. Notably, this fractional derivative approach significantly reduced computa...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 462; p. 116480
Main Author de Andrade Bortoloti, Marcio Antônio
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2025
Subjects
Conformable derivative
Descent gradient method
Fractional derivative
Conformable derivative
Descent gradient method
Fractional derivative
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ISSN0377-0427
DOI10.1016/j.cam.2024.116480

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Summary:In this paper, we perform an analysis of the Descent Gradient Method (DGM) within the context of the conformable fractional derivatives. We explore the mathematical properties of functions with continuous Lipschitz gradients. Notably, this fractional derivative approach significantly reduced computational effort when compared to the conventional DGM. Additionally, we present a detailed numerical example to prove the high performance of this generalized DGM algorithm.
ISSN:0377-0427
DOI:10.1016/j.cam.2024.116480