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Ugrás a tartalomra

First order linear fuzzy differential equations under generalized differentiability

CímFirst order linear fuzzy differential equations under generalized differentiability
Közlemény típusaJournal Article
Kiadás éve2007
SzerzőkBede, B., I. J. Rudas, and A. Bencsik
FolyóiratINFORMATION SCIENCES
Évfolyam177
Oldalszám1648 - 1662
Kiadás dátuma2007
Kiadás nyelveeng
Összefoglalás

First order linear fuzzy differential equations are investigated. We interpret a fuzzy differential equation by using the strongly generalized differentiability concept, because under this interpretation, we may obtain solutions which have a decreasing length of their support (which means a decreasing uncertainty). In several applications the behaviour of these solutions better reflects the behaviour of some real-world systems. Derivatives of the H-difference and the product of two functions are obtained and we provide solutions of first order linear fuzzy differential equations, using different versions of the variation of constants formula. Some examples show the rich behaviour of the solutions obtained. (c) 2006 Elsevier Inc. All rights reserved.
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