Fractal theory: A comprehensive review of applications across engineering disciplines
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F29142890%3A_____%2F25%3A00052296" target="_blank" >RIV/29142890:_____/25:00052296 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/abs/10.1142/S0218348X25300089?getft_integrator=clarivate&utm_source=clarivate&journalCode=fractals" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0218348X25300089?getft_integrator=clarivate&utm_source=clarivate&journalCode=fractals</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218348X25300089" target="_blank" >10.1142/S0218348X25300089</a>
Alternative languages
Result language
angličtina
Original language name
Fractal theory: A comprehensive review of applications across engineering disciplines
Original language description
Fractal theory has gained increasing attention across various engineering disciplines due to its ability to model complex, self-similar, and multiscale phenomena. This paper presents a comprehensive review of fractal applications in biomedical, mechanical, civil, environmental, and materials engineering. In particular, fractal analysis has enabled optimizing porous scaffolds in biomaterials to improve tissue integration and mechanical performance. In biomedical signal processing, fractal algorithms have improved the detection and classification of neurological disorders, particularly through electroencephalogram (EEG) and functional magnetic resonance imaging (fMRI) complexity measures. Additionally, fractal-based models have been effectively used in environmental engineering to improve the prediction and control of pollution dispersion in heterogeneous landscapes. This paper also outlines key theoretical foundations, computational methods, and domain-specific innovations, while identifying current challenges and future directions. By integrating these advances, this review provides a roadmap for using fractal theory in both theoretical research and practical applications.
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
Fractals - Complex Geometry Patterns and Scaling in Nature and Society
ISSN
0218-348X
e-ISSN
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Volume of the periodical
33
Issue of the periodical within the volume
07
Country of publishing house
SG - SINGAPORE
Number of pages
9
Pages from-to
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UT code for WoS article
001530850300001
EID of the result in the Scopus database
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