LEADER 03377nam 22008173a 450 001 9910367749103321 005 20250203235437.0 010 $a9783039216093 010 $a3039216090 024 8 $a10.3390/books978-3-03921-609-3 035 $a(CKB)4100000010106226 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/47977 035 $a(ScCtBLL)0305d303-e2f3-4ff6-a9b6-a8c7683ebc7d 035 $a(OCoLC)1163804436 035 $a(oapen)doab47977 035 $a(EXLCZ)994100000010106226 100 $a20250203i20192019 uu 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aFractional Order Systems$fIvo Petrá? 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 210 1$aBasel, Switzerland :$cMDPI,$d2019. 215 $a1 electronic resource (114 p.) 311 08$a9783039216086 311 08$a3039216082 330 $aThis 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. This Special Issue explores applications of such systems to control, synchronization, and various mathematical models, as for instance, MRI, long memory process, diffusion. 610 $acomplexity 610 $acuckoo search 610 $amagnetic resonance imaging 610 $afractional calculus 610 $amusical signal 610 $apinning synchronization 610 $aFourier transform 610 $aoptimal randomness 610 $afractional-order system 610 $aMittag-Leffler function 610 $ameaning 610 $aparameter 610 $adiffusion-wave equation 610 $aanomalous diffusion 610 $aLaplace transform 610 $atime-varying delays 610 $amass absorption 610 $aswarm-based search 610 $afractional 610 $aadaptive control 610 $atime series 610 $aHurst exponent 610 $afractional derivative 610 $acontrol 610 $aPID 610 $aglobal optimization 610 $areaction?diffusion terms 610 $aaudio signal processing 610 $aCaputo derivative 610 $aharmonic impact 610 $afractional complex networks 610 $aheavy-tailed distribution 610 $aimpulses 610 $along memory 610 $alinear prediction 700 $aPetrá?$b Ivo$0478650 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910367749103321 996 $aFractional Order Systems$93034780 997 $aUNINA