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Fuzzy differential equations in vari...

Gomes, Luciana Takata.

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Fuzzy differential equations in various approaches

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fuzzy differential equations in various approaches/ by Luciana Takata Gomes, Laecio Carvalho de Barros, Barnabas Bede.
Author:	Gomes, Luciana Takata.
other author:	Barros, Laecio Carvalho de.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xii, 120 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-22575-3
ISBN:	9783319225753

Fuzzy differential equations in various approaches
Gomes, Luciana Takata.

Fuzzy differential equations in various approaches[electronic resource] /by Luciana Takata Gomes, Laecio Carvalho de Barros, Barnabas Bede. - Cham :Springer International Publishing :2015. - xii, 120 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh's extension. Through a unique analysis, results of all these theories are examined and compared.

ISBN: 9783319225753

Standard No.: 10.1007/978-3-319-22575-3doiSubjects--Topical Terms:

517952
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.35

Fuzzy differential equations in various approaches
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100 1 $a Gomes, Luciana Takata. $3 2163000
245 1 0 $a Fuzzy differential equations in various approaches $h [electronic resource] / $c by Luciana Takata Gomes, Laecio Carvalho de Barros, Barnabas Bede.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xii, 120 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
520 $a This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh's extension. Through a unique analysis, results of all these theories are examined and compared.
650 0 $a Differential equations. $3 517952
650 0 $a Fuzzy mathematics. $3 582139
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Integral Transforms, Operational Calculus. $3 897325
650 2 4 $a Difference and Functional Equations. $3 897290
700 1 $a Barros, Laecio Carvalho de. $3 2163001
700 1 $a Bede, Barnabas. $3 2163002
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-22575-3
950 $a Mathematics and Statistics (Springer-11649)