Existence of global solutions to nonlinear fuzzy Volterra integro-differential equations

被引：50

作者：

Alikhani, Robab ^{[1
]}

Bahrami, Fariba ^{[1
]}

Jabbari, Adel ^{[1
]}

机构：

[1] Univ Tabriz, Dept Math, Tabriz, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Nonlinear fuzzy integro-differential equations of Volterra type; Mixed solutions; Proper solutions; Fixed point theorem; Method of successive iteration; Linear fuzzy differential equation; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.na.2011.09.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce new solutions for fuzzy differential equations as mixed solutions, and prove the existence and uniqueness of global solutions for fuzzy initial value problems involving integro-differential operators of Volterra type. One example is also given by applying mixed solution concept to fuzzy linear differential equations for obtaining their global solutions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1810 / 1821

页数：12

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