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Fractional behaviours modellinganalysis and application of several unusual tools /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractional behaviours modellingby Jocelyn Sabatier, Christophe Farges, Vincent Tartaglione.
其他題名:	analysis and application of several unusual tools /
作者:	Sabatier, Jocelyn.
其他作者:	Farges, Christophe.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	ix, 134 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Fractional calculus.
電子資源:	https://doi.org/10.1007/978-3-030-96749-9
ISBN:	9783030967499$q(electronic bk.)

Fractional behaviours modellinganalysis 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.70..

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$q(electronic bk.)

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

208302
Fractional calculus.

LC Class. No.: QA314 / .S33 2022

Dewey Class. No.: 515.83

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