Fractional Behaviours Modelling: Analysis and Application of Several Unusual Tools

Author:   Jocelyn Sabatier ,  Christophe Farges ,  Vincent Tartaglione
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   101
ISBN:  

9783030967512


Pages:   134
Publication Date:   20 March 2023
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Fractional Behaviours Modelling: Analysis and Application of Several Unusual Tools


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Overview

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.

Full Product Details

Author:   Jocelyn Sabatier ,  Christophe Farges ,  Vincent Tartaglione
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2022
Volume:   101
Weight:   0.232kg
ISBN:  

9783030967512


ISBN 10:   3030967514
Pages:   134
Publication Date:   20 March 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

This very interesting book can be very useful for graduated students who wish to approach this subject and also to senior researchers. (Kais Ammari, zbMATH 1490.93002, 2022)


“This very interesting book can be very useful for graduated students who wish to approach this subject and also to senior researchers.” (Kaïs Ammari, zbMATH 1490.93002, 2022)


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