Fractional Order Systems and Their Applications - Hardcover

 
9783725826803: Fractional Order Systems and Their Applications
Hardcover
ISBN 10: 3725826803 ISBN 13: 9783725826803
Publisher: Mdpi AG, 2024

Synopsis

Fractional calculus (FC) generalizes the concepts of derivative and integral orders to non-integer orders. It was introduced by Leibniz (1646-1716) but remained a purely mathematical exercise for a long time, despite the original contributions to the field of important mathematicians, physicists, and engineers. FC has experienced rapid development in recent decades, both in mathematics and applied sciences, being recognized as an excellent tool to describe complex dynamics. Based on this, several models governing physical phenomena in the areas of science and engineering have been reformulated in light of FC for them to better reflecting their non-local and frequency- and history-dependent properties. Applications of FC include modeling of diffusion, viscoelasticity, and relaxation processes in fluid mechanics; the dynamics of mechanical, electronic, and biological systems; and signal processing and control.

This reprint compiles articles from the Special Issue "Fractional Order Systems and Their Applications", which focused on original and new research results on modeling and control of fractional order systems with applications in science and engineering. It includes 13 manuscripts addressing novel issues and specific topics that illustrate the richness and applicability of fractional calculus.

"synopsis" may belong to another edition of this title.

Publisher
Mdpi AG
Publication date
2024
Language
English
ISBN 10 
3725826803
ISBN 13 
9783725826803
Binding
Hardcover
Number of pages
264
Editor
Lopes António M, Chen Liping