Review of the applications of different fractional models in engineering
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Review of the applications of different fractional models in engineering
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematical Modelling
ISSN
0307-904X
e-ISSN
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Volume of the periodical
153
Issue of the periodical within the volume
116623
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
1-19
UT code for WoS article
001630936800004
EID of the result in the Scopus database
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