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Fractional Behaviours Modelling = Analysis and Application of Several Unusual Tools /
Record Type:
Language materials, printed : 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.
Description:
IX, 134 p. 58 illus., 44 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Control engineering. -
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 Modelling
Analysis and Application of Several Unusual Tools /[electronic resource] :by Jocelyn Sabatier, Christophe Farges, Vincent Tartaglione. - 1st ed. 2022. - IX, 134 p. 58 illus., 44 illus. in color.online resource. - Intelligent Systems, Control and Automation: Science and Engineering,1012213-8994 ;. - Intelligent Systems, Control and Automation: Science and Engineering,75.
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:
1249728
Control engineering.
LC Class. No.: TJ212-225
Dewey Class. No.: 629.8312
Fractional Behaviours Modelling = Analysis and Application of Several Unusual Tools /
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