Review of the applications of different fractional models in engineering

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F29142890%3A_____%2F25%3A00053394" target="_blank" >RIV/29142890:_____/25:00053394 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0307904X25006973" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0307904X25006973</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2025.116623" target="_blank" >10.1016/j.apm.2025.116623</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Review of the applications of different fractional models in engineering

Popis výsledku v původním jazyce

Fractional calculus has emerged as a powerful framework for modeling complex engineering systems characterized by memory effects, non-local interactions, and anomalous behaviors. This review provides a comprehensive analysis of the diverse applications of fractional models across key engineering domains, including control theory, heat transfer, viscoelasticity, fluid mechanics, and signal processing. The discussion highlights how fractional models enhance modeling precision, improve system stability, and offer deeper insights into processes that cannot be accurately captured by traditional integer-order approaches. By synthesizing findings from a wide range of studies, the paper demonstrates the practical advantages of fractional models in solving real-world engineering challenges, such as optimizing control performance, predicting material behavior, and improving signal interpretation. The review also identifies key research gaps related to computational complexity, parameter estimation, and experimental validation, offering future directions for expanding the practical utility of fractional models. Overall, this study underscores the growing relevance of fractional calculus as an essential tool for advancing engineering analysis and design.

Název v anglickém jazyce

Review of the applications of different fractional models in engineering

Popis výsledku anglicky

Fractional calculus has emerged as a powerful framework for modeling complex engineering systems characterized by memory effects, non-local interactions, and anomalous behaviors. This review provides a comprehensive analysis of the diverse applications of fractional models across key engineering domains, including control theory, heat transfer, viscoelasticity, fluid mechanics, and signal processing. The discussion highlights how fractional models enhance modeling precision, improve system stability, and offer deeper insights into processes that cannot be accurately captured by traditional integer-order approaches. By synthesizing findings from a wide range of studies, the paper demonstrates the practical advantages of fractional models in solving real-world engineering challenges, such as optimizing control performance, predicting material behavior, and improving signal interpretation. The review also identifies key research gaps related to computational complexity, parameter estimation, and experimental validation, offering future directions for expanding the practical utility of fractional models. Overall, this study underscores the growing relevance of fractional calculus as an essential tool for advancing engineering analysis and design.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

—

Svazek periodika

153

Číslo periodika v rámci svazku

116623

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

1-19

Kód UT WoS článku

001630936800004

EID výsledku v databázi Scopus

—