TY  - BOOK
TI  - Fractional Order Systems
SN  - 9783039216086
PY  - 2019///
PB  - MDPI - Multidisciplinary Digital Publishing Institute
KW  - adaptive control
KW  - anomalous diffusion
KW  - audio signal processing
KW  - Caputo derivative
KW  - complexity
KW  - control
KW  - cuckoo search
KW  - diffusion-wave equation
KW  - Fourier transform
KW  - fractional
KW  - fractional calculus
KW  - fractional complex networks
KW  - fractional derivative
KW  - fractional-order system
KW  - global optimization
KW  - harmonic impact
KW  - heavy-tailed distribution
KW  - Hurst exponent
KW  - impulses
KW  - Laplace transform
KW  - linear prediction
KW  - long memory
KW  - magnetic resonance imaging
KW  - mass absorption
KW  - meaning
KW  - Mittag-Leffler function
KW  - musical signal
KW  - optimal randomness
KW  - parameter
KW  - PID
KW  - pinning synchronization
KW  - reaction-diffusion terms
KW  - swarm-based search
KW  - time series
KW  - time-varying delays
N1  - Open Access
N2  - 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
UR  - https://directory.doabooks.org/handle/20.500.12854/47977
UR  - https://mdpi.com/books/pdfview/book/1757
ER  -