Continuous/Discrete-Time Fractional Systems
Over the past thirty years, fractional calculus has become an integral part of all scientific fields. Although not all formulations are suitable for use in applications, there are several tools that constitute true generalizations of classical operators and are suitable for describing real phenomena...
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| Formato: | Online |
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| Idioma: | inglés |
| Publicado: |
MDPI - Multidisciplinary Digital Publishing Institute
2026
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| Subjects: | |
| Acceso en liña: | ONIX_20260416T142754_9783725862382_16 |
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| _version_ | 1869514677598289920 |
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| collection | Directory of Open Access Books |
| description | Over the past thirty years, fractional calculus has become an integral part of all scientific fields. Although not all formulations are suitable for use in applications, there are several tools that constitute true generalizations of classical operators and are suitable for describing real phenomena. In fact, many systems can be classified as displacement-invariant or scale-invariant and have fractional characteristics, either in time or in frequency/scale. This means that some of the known fractional operators, specifically those described by ARMA-type equations, are very useful in many areas, such as diffusion, viscoelasticity, fluid mechanics, bioengineering, dynamics of mechanical, electronic, and biological systems, signal processing, control, economics, and others. The aim of this Reprint is to continue advancing research on topics such as modeling, design, and estimation related to fractional-order systems. |
| format | Online |
| id | doab-20.500.12854ir-175211 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2026 |
| publishDateRange | 2026 |
| publishDateSort | 2026 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1752112026-04-16T19:36:35Z Continuous/Discrete-Time Fractional Systems Bengochea, Gabriel Ortigueira, Manuel Duarte Discrete-time fractional calculus Riesz derivative Hadamard derivative Fractional Control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Over the past thirty years, fractional calculus has become an integral part of all scientific fields. Although not all formulations are suitable for use in applications, there are several tools that constitute true generalizations of classical operators and are suitable for describing real phenomena. In fact, many systems can be classified as displacement-invariant or scale-invariant and have fractional characteristics, either in time or in frequency/scale. This means that some of the known fractional operators, specifically those described by ARMA-type equations, are very useful in many areas, such as diffusion, viscoelasticity, fluid mechanics, bioengineering, dynamics of mechanical, electronic, and biological systems, signal processing, control, economics, and others. The aim of this Reprint is to continue advancing research on topics such as modeling, design, and estimation related to fractional-order systems. 2026-04-16T19:36:27Z 2026-04-16T19:36:27Z 2026 book ONIX_20260416T142754_9783725862382_16 9783725862382 9783725862399 https://directory.doabooks.org/handle/20.500.12854/175211 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/ https://mdpi.com/books/pdfview/book/12123 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-6239-9 10.3390/books978-3-7258-6239-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725862382 9783725862399 200 CH open access |
| spellingShingle | Discrete-time fractional calculus Riesz derivative Hadamard derivative Fractional Control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Continuous/Discrete-Time Fractional Systems |
| title | Continuous/Discrete-Time Fractional Systems |
| title_full | Continuous/Discrete-Time Fractional Systems |
| title_fullStr | Continuous/Discrete-Time Fractional Systems |
| title_full_unstemmed | Continuous/Discrete-Time Fractional Systems |
| title_short | Continuous/Discrete-Time Fractional Systems |
| title_sort | continuous discrete time fractional systems |
| topic | Discrete-time fractional calculus Riesz derivative Hadamard derivative Fractional Control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | Discrete-time fractional calculus Riesz derivative Hadamard derivative Fractional Control thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20260416T142754_9783725862382_16 |