Existence of solution of fuzzy differential equation

In this paper, first a space of fuzzy numbers is constructed and a scalar product is introduced. The derivative of fuzzy function in this space is defined. Further, a fuzzy differential equation is considered and existence theorem for it's solution is proved.

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Bibliographic Details
Main Authors: Niftiyev, A., Mammadova, G., Shikhlinskaya, R.
Format: Conference Proceeding
Language:English
Subjects:
derivative of the fuzzy function
differential equation
existence theorem
Fuzzy numbers
linear space
Online Access:Request full text
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Description
Summary:In this paper, first a space of fuzzy numbers is constructed and a scalar product is introduced. The derivative of fuzzy function in this space is defined. Further, a fuzzy differential equation is considered and existence theorem for it's solution is proved.
DOI:10.1109/ICPCI.2012.6486462