Fractional Order Systems

• Main Author: Petráš, Ivo (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Subjects: 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...