國立虎尾科技大學 |

Fractional Behaviours Modelling = Analysis and Application of Several Unusual Tools /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fractional Behaviours Modelling/ by 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:	Tartaglione, Vincent.
面頁冊數:	IX, 134 p. 58 illus., 44 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Systems Theory, Control . -
電子資源:	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. - 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:

1366058
Systems Theory, Control .

LC Class. No.: TJ212-225

Dewey Class. No.: 629.8312

Fractional Behaviours Modelling = Analysis and Application of Several Unusual Tools /
LDR:02839nam a22004335i 4500 001 1090775
003 DE-He213
005 20220318161708.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783030967499 $9 978-3-030-96749-9
024 7 $a 10.1007/978-3-030-96749-9 $2 doi
035 $a 978-3-030-96749-9
050 4 $a TJ212-225
072 7 $a TJFM $2 bicssc
072 7 $a GPFC $2 bicssc
072 7 $a TEC004000 $2 bisacsh
072 7 $a TJFM $2 thema
082 0 4 $a 629.8312 $2 23
082 0 4 $a 003 $2 23
100 1 $a Sabatier, Jocelyn. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1264277
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.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a IX, 134 p. 58 illus., 44 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Intelligent Systems, Control and Automation: Science and Engineering, $x 2213-8994 ; $v 101
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.
650 2 4 $a Systems Theory, Control . $3 1366058
650 2 4 $a Applied Dynamical Systems. $3 1366186
650 2 4 $a Control, Robotics, Automation. $3 1365878
650 1 4 $a Control and Systems Theory. $3 1211358
650 0 $a Control theory. $3 527674
650 0 $a System theory. $3 566168
650 0 $a Nonlinear theories. $3 527937
650 0 $a Dynamics. $3 592238
650 0 $a Automation. $3 596698
650 0 $a Robotics. $3 561941
650 0 $a Control engineering. $3 1249728
700 1 $a Tartaglione, Vincent. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1398263
700 1 $a Farges, Christophe. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1398262
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030967482
776 0 8 $i Printed edition: $z 9783030967505
776 0 8 $i Printed edition: $z 9783030967512
830 0 $a Intelligent Systems, Control and Automation: Science and Engineering, $x 2213-8986 ; $v 75 $3 1256412
856 4 0 $u https://doi.org/10.1007/978-3-030-96749-9
912 $a ZDB-2-INR
912 $a ZDB-2-SXIT
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)
950 $a Intelligent Technologies and Robotics (R0) (SpringerNature-43728)