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 appl...
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MDPI - Multidisciplinary Digital Publishing Institute
2019
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| Online Access: | Get Fullteks DOAB: description of the publication |
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| LEADER | 02966naaaa2200661uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_47977 | ||
| 005 | 20210211 | ||
| 020 | |a books978-3-03921-609-3 | ||
| 020 | |a 9783039216093 | ||
| 020 | |a 9783039216086 | ||
| 024 | 7 | |a 10.3390/books978-3-03921-609-3 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 100 | 1 | |a Petráš, Ivo |4 auth | |
| 245 | 1 | 0 | |a Fractional Order Systems |
| 260 | |b MDPI - Multidisciplinary Digital Publishing Institute |c 2019 | ||
| 300 | |a 1 electronic resource (114 p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a complexity | ||
| 653 | |a cuckoo search | ||
| 653 | |a magnetic resonance imaging | ||
| 653 | |a fractional calculus | ||
| 653 | |a musical signal | ||
| 653 | |a pinning synchronization | ||
| 653 | |a Fourier transform | ||
| 653 | |a optimal randomness | ||
| 653 | |a fractional-order system | ||
| 653 | |a Mittag-Leffler function | ||
| 653 | |a meaning | ||
| 653 | |a parameter | ||
| 653 | |a diffusion-wave equation | ||
| 653 | |a anomalous diffusion | ||
| 653 | |a Laplace transform | ||
| 653 | |a time-varying delays | ||
| 653 | |a mass absorption | ||
| 653 | |a swarm-based search | ||
| 653 | |a fractional | ||
| 653 | |a adaptive control | ||
| 653 | |a time series | ||
| 653 | |a Hurst exponent | ||
| 653 | |a fractional derivative | ||
| 653 | |a control | ||
| 653 | |a PID | ||
| 653 | |a global optimization | ||
| 653 | |a reaction-diffusion terms | ||
| 653 | |a audio signal processing | ||
| 653 | |a Caputo derivative | ||
| 653 | |a harmonic impact | ||
| 653 | |a fractional complex networks | ||
| 653 | |a heavy-tailed distribution | ||
| 653 | |a impulses | ||
| 653 | |a long memory | ||
| 653 | |a linear prediction | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://mdpi.com/books/pdfview/book/1757 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/47977 |7 0 |z DOAB: description of the publication |