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Fractional Order Systems

dc.contributor.authorPetráš, Ivo*
dc.date.accessioned2021-02-11T13:59:41Z
dc.date.available2021-02-11T13:59:41Z
dc.date.issued2019*
dc.date.submitted2019-12-09 11:49:16*
dc.identifier42612*
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/47977
dc.description.abstractThis 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.*
dc.languageEnglish*
dc.subjectQA1-939*
dc.subjectQ1-390*
dc.subject.classificationbic Book Industry Communication::P Mathematics & scienceen_US
dc.subject.othercomplexity*
dc.subject.othercuckoo search*
dc.subject.othermagnetic resonance imaging*
dc.subject.otherfractional calculus*
dc.subject.othermusical signal*
dc.subject.otherpinning synchronization*
dc.subject.otherFourier transform*
dc.subject.otheroptimal randomness*
dc.subject.otherfractional-order system*
dc.subject.otherMittag-Leffler function*
dc.subject.othermeaning*
dc.subject.otherparameter*
dc.subject.otherdiffusion-wave equation*
dc.subject.otheranomalous diffusion*
dc.subject.otherLaplace transform*
dc.subject.othertime-varying delays*
dc.subject.othermass absorption*
dc.subject.otherswarm-based search*
dc.subject.otherfractional*
dc.subject.otheradaptive control*
dc.subject.othertime series*
dc.subject.otherHurst exponent*
dc.subject.otherfractional derivative*
dc.subject.othercontrol*
dc.subject.otherPID*
dc.subject.otherglobal optimization*
dc.subject.otherreaction–diffusion terms*
dc.subject.otheraudio signal processing*
dc.subject.otherCaputo derivative*
dc.subject.otherharmonic impact*
dc.subject.otherfractional complex networks*
dc.subject.otherheavy-tailed distribution*
dc.subject.otherimpulses*
dc.subject.otherlong memory*
dc.subject.otherlinear prediction*
dc.titleFractional Order Systems*
dc.typebook
oapen.identifier.doi10.3390/books978-3-03921-609-3*
oapen.relation.isPublishedBy46cabcaa-dd94-4bfe-87b4-55023c1b36d0*
oapen.relation.isbn9783039216093*
oapen.relation.isbn9783039216086*
oapen.pages114*
oapen.edition1st*


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