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Fractional behaviours modelling = an...

Sabatier, Jocelyn.

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Fractional behaviours modelling = analysis and application of several unusual tools /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional behaviours modelling/ by Jocelyn Sabatier, Christophe Farges, Vincent Tartaglione.
Reminder of title:	analysis and application of several unusual tools /
Author:	Sabatier, Jocelyn.
other author:	Farges, Christophe.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	ix, 134 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Fractional calculus. -
Online resource:	https://doi.org/10.1007/978-3-030-96749-9
ISBN:	9783030967499

Fractional behaviours modelling = analysis and application of several unusual tools /
Sabatier, Jocelyn.

Fractional behaviours modellinganalysis and application of several unusual tools /[electronic resource] :by Jocelyn Sabatier, Christophe Farges, Vincent Tartaglione. - Cham :Springer International Publishing :2022. - ix, 134 p. :ill. (some col.), digital ;24 cm. - Intelligent systems, control and automation: science and engineering,v. 1012213-8994 ;. - Intelligent systems, control and automation: science and engineering ;v. 101..

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.

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 their efficiency.

ISBN: 9783030967499

Standard No.: 10.1007/978-3-030-96749-9doiSubjects--Topical Terms:

898980
Fractional calculus.

LC Class. No.: QA314 / .S33 2022

Dewey Class. No.: 515.83

Fractional behaviours modelling = analysis and application of several unusual tools /
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245 1 0 $a Fractional behaviours modelling $h [electronic resource] : $b analysis and application of several unusual tools / $c by Jocelyn Sabatier, Christophe Farges, Vincent Tartaglione.
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505 0 $a 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.
520 $a 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 their efficiency.
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700 1 $a Farges, Christophe. $3 3596101
700 1 $a Tartaglione, Vincent. $3 3596102
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