DocumentCode
3096216
Title
Numerical solutions of fuzzy Volterra integral equations by characterization theorems
Author
Zhang, Dong-Kai ; Liu, Xiu-Jun ; Zhou, Chang-Jie ; Qiu, Ji-qing
Author_Institution
Dept. of Math., Shijiazhuang Univ., Shijiazhuang, China
Volume
2
fYear
2009
fDate
12-15 July 2009
Firstpage
737
Lastpage
742
Abstract
Study the fuzzy Volterra integral equations initial value problems. Characterization theorems for fuzzy Volterra integral equations are given and proofed. Fuzzy Volterra integral equations can be transferred to ODES by these characterization theorems. Then we give some methods to solve fuzzy Volterra integral equations. In the end, some examples are given to illustrate this theory.
Keywords
Volterra equations; differential equations; fuzzy set theory; initial value problems; ODES; characterization theorems; fuzzy Volterra integral equations; initial value problems; numerical solutions; Cybernetics; Integral equations; Machine learning; Fuzzy number; characterization theorem; fuzzy Volterra integral equations; hukuhara differentiability;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location
Baoding
Print_ISBN
978-1-4244-3702-3
Electronic_ISBN
978-1-4244-3703-0
Type
conf
DOI
10.1109/ICMLC.2009.5212439
Filename
5212439
Link To Document