Fractional Order Systems
This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applicati...
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| Format: | Online |
| Idioma: | anglès |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Accés en línia: | 42612 |
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| _version_ | 1869521409879834624 |
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| author | Petráš, Ivo |
| author_browse | Petráš, Ivo |
| author_facet | Petráš, Ivo |
| author_sort | Petráš, Ivo |
| collection | Directory of Open Access Books |
| description | This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems. |
| format | Online |
| id | doab-20.500.12854ir-47977 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-479772023-12-20T18:40:39Z Fractional Order Systems Petráš, Ivo QA1-939 Q1-390 complexity cuckoo search magnetic resonance imaging fractional calculus musical signal pinning synchronization Fourier transform optimal randomness fractional-order system Mittag-Leffler function meaning parameter diffusion-wave equation anomalous diffusion Laplace transform time-varying delays mass absorption swarm-based search fractional adaptive control time series Hurst exponent fractional derivative control PID global optimization reaction–diffusion terms audio signal processing Caputo derivative harmonic impact fractional complex networks heavy-tailed distribution impulses long memory linear prediction bic Book Industry Communication::P Mathematics & science This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems. 2021-02-11T13:59:41Z 2021-02-11T13:59:41Z 2019-12-09 11:49:16 2019 book 42612 9783039216093 9783039216086 https://directory.doabooks.org/handle/20.500.12854/47977 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1757 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-609-3 10.3390/books978-3-03921-609-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039216093 9783039216086 114 open access |
| spellingShingle | QA1-939 Q1-390 complexity cuckoo search magnetic resonance imaging fractional calculus musical signal pinning synchronization Fourier transform optimal randomness fractional-order system Mittag-Leffler function meaning parameter diffusion-wave equation anomalous diffusion Laplace transform time-varying delays mass absorption swarm-based search fractional adaptive control time series Hurst exponent fractional derivative control PID global optimization reaction–diffusion terms audio signal processing Caputo derivative harmonic impact fractional complex networks heavy-tailed distribution impulses long memory linear prediction bic Book Industry Communication::P Mathematics & science Petráš, Ivo Fractional Order Systems |
| title | Fractional Order Systems |
| title_full | Fractional Order Systems |
| title_fullStr | Fractional Order Systems |
| title_full_unstemmed | Fractional Order Systems |
| title_short | Fractional Order Systems |
| title_sort | fractional order systems |
| topic | QA1-939 Q1-390 complexity cuckoo search magnetic resonance imaging fractional calculus musical signal pinning synchronization Fourier transform optimal randomness fractional-order system Mittag-Leffler function meaning parameter diffusion-wave equation anomalous diffusion Laplace transform time-varying delays mass absorption swarm-based search fractional adaptive control time series Hurst exponent fractional derivative control PID global optimization reaction–diffusion terms audio signal processing Caputo derivative harmonic impact fractional complex networks heavy-tailed distribution impulses long memory linear prediction bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 complexity cuckoo search magnetic resonance imaging fractional calculus musical signal pinning synchronization Fourier transform optimal randomness fractional-order system Mittag-Leffler function meaning parameter diffusion-wave equation anomalous diffusion Laplace transform time-varying delays mass absorption swarm-based search fractional adaptive control time series Hurst exponent fractional derivative control PID global optimization reaction–diffusion terms audio signal processing Caputo derivative harmonic impact fractional complex networks heavy-tailed distribution impulses long memory linear prediction bic Book Industry Communication::P Mathematics & science |
| url | 42612 |
| work_keys_str_mv | AT petrasivo fractionalordersystems |