03377nam 22008173a 450 991036774910332120250203235437.09783039216093303921609010.3390/books978-3-03921-609-3(CKB)4100000010106226(oapen)https://directory.doabooks.org/handle/20.500.12854/47977(ScCtBLL)0305d303-e2f3-4ff6-a9b6-a8c7683ebc7d(OCoLC)1163804436(oapen)doab47977(EXLCZ)99410000001010622620250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional Order SystemsIvo PetrášMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (114 p.)9783039216086 3039216082 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. This Special Issue explores applications of such systems to control, synchronization, and various mathematical models, as for instance, MRI, long memory process, diffusion.complexitycuckoo searchmagnetic resonance imagingfractional calculusmusical signalpinning synchronizationFourier transformoptimal randomnessfractional-order systemMittag-Leffler functionmeaningparameterdiffusion-wave equationanomalous diffusionLaplace transformtime-varying delaysmass absorptionswarm-based searchfractionaladaptive controltime seriesHurst exponentfractional derivativecontrolPIDglobal optimizationreaction–diffusion termsaudio signal processingCaputo derivativeharmonic impactfractional complex networksheavy-tailed distributionimpulseslong memorylinear predictionPetráš Ivo478650ScCtBLLScCtBLLBOOK9910367749103321Fractional Order Systems3034780UNINA