Buch, Englisch, Band 101, 134 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 389 g
Reihe: Intelligent Systems, Control and Automation: Science and Engineering
Analysis and Application of Several Unusual Tools
Buch, Englisch, Band 101, 134 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 389 g
Reihe: Intelligent Systems, Control and Automation: Science and Engineering
ISBN: 978-3-030-96748-2
Verlag: Springer International Publishing
This book is dedicated to the analysis and modelling of fractional behaviours that mainly result from physical stochastic phenomena (diffusion, adsorption or aggregation, etc.) of a population (ions, molecules, people, etc.) in a constrained environment and that can be found in numerous areas. It breaks with the usual approaches based on fractional models since it proposes to use unusual models which have the advantage of overcoming some of the limitations of fractional models.
This book is dedicated to postgraduated students and to researchers in the field or those who wish to learn with a fresh perspective. After a review of fractional models and their limitations, it proposes and demonstrates the interest of four other modelling tools to capture fractional behaviours: new kernels in integral operators, Volterra equations, nonlinear models and partial differential equations with spatially variable coefficients. Several applications on real data and devices illustrate theirefficiency.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
- Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
- Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
- Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
Weitere Infos & Material
Introduction.- Power-law type dynamic behaviours.- Fractional order models.- Introduction of new kernels.- Volterra equation.- Non-linear models.- Partial differential equations with spatially variable coefficients.
