Fractional Behaviours Modelling: Analysis and Application of Several Unusual Tools: 101 (Intelligent Systems, Control and Automation: Science and Engineering, 101) - Softcover

Sabatier, Jocelyn; Farges, Christophe; Tartaglione, Vincent

Softcover

ISBN 10: 3030967514 ISBN 13: 9783030967512

Publisher: Springer, 2023

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2023
• Language: English
• ISBN 10: 3030967514
• ISBN 13: 9783030967512
• Binding: Paperback
• Edition number: 1
• Number of pages: 143