KFU. Card publication. Zeta-management: categorical and fractional differential approaches

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FEDERAL UNIVERSITY

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ZETA-MANAGEMENT: CATEGORICAL AND FRACTIONAL DIFFERENTIAL APPROACHES

Form of presentation

Articles in international journals and collections

Year of publication

2018

Язык

английский

Authors, employees of KFU

Tayurskiy Dmitriy Albertovich, author

Other authors

Le Mehanute Alain , author

Nivanen Laurent , author

Raynal Serge , author

Riot Philippe , author

Bibliographic description in the original language

Riot P. Zeta-management: categorical and fractional differential approaches / P. Riot, A. Le Mehaute, D. Tayurskii, Laurent Nivanen, Serge Raynal // Hyperion International Journal of Econophysics & New Economy. - 2018. - v. 11. - N 1. - P. 7-48.

Annotation

The aim of this note is to introduce and justify the reasons why the traditional differential approach of complex systems, and more specifically non-additive systems, must be recognized as an epistemological failure (e.g. in economy, finance or limited in social agent models). The categorical character of the context proper to any type of irreversible exchange is analyzed. This approach underlines and explains the weaknesses of the set theory generally utilized. Beyond the mathematical concepts their application in project management provides an illustrative example allowing an easy understanding of the statements of problems attached to non-additive and irreversible complex system. We will see why it is necessary to shift the analysis from the set theory toward the theory of categories and why this choice very naturally introduces the use of non- integer order Differential Equations.

Keywords

Categories Theory, Fractal and Hyperbolic Geometry, Fractional Differential Integral, Irreversibility, Management

The name of the journal

Hyperion International Journal of Econophysics & New Economy

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/132094/F_01_Riot_Le_Mehaute_et_al.pdf?sequence=1&isAllowed=y

URL

https://www.journal-hyperion.ro/journal-archive/category/37-volume-11-issue-1-2018?start=9

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=184777&p_lang=2

Resource files

File name	Size (MB)	Format
F_01_Riot_Le_Mehaute_et_al.pdf	6,95	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tayurskiy Dmitriy Albertovich	ru_RU
dc.contributor.author	Le Mehanute Alain	ru_RU
dc.contributor.author	Nivanen Laurent	ru_RU
dc.contributor.author	Raynal Serge	ru_RU
dc.contributor.author	Riot Philippe	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Riot P. Zeta-management: categorical and fractional differential approaches / P. Riot, A. Le Mehaute, D. Tayurskii, Laurent Nivanen, Serge Raynal // Hyperion International Journal of Econophysics & New Economy. - 2018. - v. 11. - N 1. - P. 7-48.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=184777&p_lang=2	ru_RU
dc.description.abstract	Hyperion International Journal of Econophysics & New Economy	ru_RU
dc.description.abstract	The aim of this note is to introduce and justify the reasons why the traditional differential approach of complex systems, and more specifically non-additive systems, must be recognized as an epistemological failure (e.g. in economy, finance or limited in social agent models). The categorical character of the context proper to any type of irreversible exchange is analyzed. This approach underlines and explains the weaknesses of the set theory generally utilized. Beyond the mathematical concepts their application in project management provides an illustrative example allowing an easy understanding of the statements of problems attached to non-additive and irreversible complex system. We will see why it is necessary to shift the analysis from the set theory toward the theory of categories and why this choice very naturally introduces the use of non- integer order Differential Equations.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Categories Theory	ru_RU
dc.subject	Fractal and Hyperbolic Geometry	ru_RU
dc.subject	Fractional Differential Integral	ru_RU
dc.subject	Irreversibility	ru_RU
dc.subject	Management	ru_RU
dc.title	Zeta-management: categorical and fractional differential approaches	ru_RU
dc.type	Articles in international journals and collections	ru_RU