Fuzzy Differential Equations in Various Approaches

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 fu...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Gomes, Luciana Takata (Συγγραφέας), Barros, Laécio Carvalho de (Συγγραφέας), Bede, Barnabas (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
Έκδοση:1st ed. 2015.
Σειρά:SpringerBriefs in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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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 Mathematics. 
650 0 |a Difference equations. 
650 0 |a Functional equations. 
650 0 |a Integral transforms. 
650 0 |a Operational calculus. 
650 0 |a Operator theory. 
650 0 |a Differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Ordinary Differential Equations. 
650 2 4 |a Operator Theory. 
650 2 4 |a Integral Transforms, Operational Calculus. 
650 2 4 |a Difference and Functional Equations. 
700 1 |a Barros, Laécio Carvalho de.  |e author. 
700 1 |a Bede, Barnabas.  |e author. 
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