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

Volume

1

fYear

2009

fDate

19-21 May 2009

Firstpage

460

Lastpage

464

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Systems, 2009. GCIS '09. WRI Global Congress on

Conference_Location

Xiamen

Print_ISBN

978-0-7695-3571-5

Type

conf

DOI

10.1109/GCIS.2009.90

Filename

5209040