Title :
First-order Mixed Type Implicit Impulsive Fuzzy Differential Equation Systems
Author :
Lan, Heng-you ; Xie, Wei ; Zhang, Xian-Jun
Author_Institution :
Dept. of Math., Sichuan Univ. of Sci. & Eng., Zigong, China
Abstract :
In this paper, by using Banach contraction mapping principle, we obtain some new existence and uniqueness theorems of solutions for a new system of initial value problems of first-order mixed type implicit impulsive fuzzy differential equations in the metric space of normal fuzzy convex sets with distance given by maximum of the Hausdorff distance between level sets.
Keywords :
differential equations; fuzzy set theory; initial value problems; Banach contraction mapping principle; Hausdorff distance; existence theorem; first-order fuzzy differential equation systems; implicit fuzzy differential equation systems; impulsive fuzzy differential equation systems; initial value problem; level sets; metric space; mixed type fuzzy differential equation systems; normal fuzzy convex sets; uniqueness theorem; Boundary conditions; Differential equations; Fuzzy sets; Fuzzy systems; Integral equations; Intelligent systems; Level set; Mathematics; Sufficient conditions; Banach contraction mapping principle; Hausdorff distance; first-order mixed type implicit impulsive fuzzy differential equation system; initial value problem; normal fuzzy convex set;
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
DOI :
10.1109/GCIS.2009.90
