Fractional Order Systems Ivo Petráš.

Format:

Book

Author/Creator:

Petráš, Ivo, author.

Language:

English

Physical Description:

1 electronic resource (114 p.)

Place of Publication:

MDPI - Multidisciplinary Digital Publishing Institute 2019

Basel, Switzerland : MDPI, 2019.

Language Note:

English

Summary:

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.

Notes:

CC BY-NC-ND

Description based on print version record.

ISBN:

9783039216093

3039216090

OCLC:

1163804436

Publisher Number:

10.3390/books978-3-03921-609-3