Title :
Existence of solution of fuzzy differential equation
Author :
Niftiyev, A. ; Mammadova, G. ; Shikhlinskaya, R.
Author_Institution :
Inst. of Appl. Math., Baku State Univ., Baku, Azerbaijan
Abstract :
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.
Keywords :
differential equations; fuzzy set theory; number theory; fuzzy differential equation solution; fuzzy function derivative; fuzzy numbers; scalar product; Fuzzy numbers; derivative of the fuzzy function; differential equation; existence theorem; linear space;
Conference_Titel :
Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
Conference_Location :
Baku
Print_ISBN :
978-1-4673-4500-2
DOI :
10.1109/ICPCI.2012.6486462
