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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| Published in | Journal of computational and applied mathematics Vol. 462; p. 116480 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.07.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0377-0427 |
| DOI | 10.1016/j.cam.2024.116480 |
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| Abstract | 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. |
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| AbstractList | 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. |
| ArticleNumber | 116480 |
| Author | de Andrade Bortoloti, Marcio Antônio |
| Author_xml | – sequence: 1 givenname: Marcio Antônio orcidid: 0000-0001-6239-607X surname: de Andrade Bortoloti fullname: de Andrade Bortoloti, Marcio Antônio email: mbortoloti@uesb.edu.br organization: LaMAp/DCET, Universidade Estadual do Sudoeste da Bahia, Vitória da Conquista, 45083-900, Bahia, Brazil |
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| Cites_doi | 10.1016/j.cam.2014.01.002 10.1016/j.jfranklin.2020.01.008 10.1016/j.cam.2014.10.016 10.1007/s101070100263 10.1002/mma.7127 10.1007/s11075-022-01463-z 10.1016/j.aej.2023.07.010 10.1142/S1793524523500419 10.2298/TSCI23S1237S 10.1007/s12346-024-00955-8 10.1007/s10958-023-06608-6 10.1016/j.jcp.2011.11.008 |
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| Keywords | Conformable derivative Descent gradient method Fractional derivative |
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| SubjectTerms | Conformable derivative Descent gradient method Fractional derivative |
| Title | Computational performance of a generalized descent gradient method based algorithm with conformable fractional-order derivatives |
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