Existence and uniqueness of solutions for random fuzzy fractional integral and differential equations

被引：18

作者：

Lupulescu, Vasile ^{[1
]}

Dong, Le Si ^{[2
]}

Ngo Van Hoa ^{[3
,4
]}

机构：

[1] Constantin Brancusi Univ, Targu Jiu, Romania

[2] Fac Basic Educ Banking Univ, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 29卷 / 01期

关键词：

Fractional differential equations; fuzzy differential equations; random fuzzy fractional differential equation;

D O I：

10.3233/IFS-141368

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper the random fuzzy fractional integral and differential equations are introduced. Under Lipschitz condition we obtain the existence and uniqueness theorems of solutions for two general forms of random fuzzy fractional integral equations. To prove this assertion we use an idea of successive approximations. Moreover, the approach is followed to prove the existence and uniqueness of solutions for random fuzzy fractional initial value problem under Caputo-type fuzzy fractional derivatives. The method is illustrated by solving an example.

引用

页码：27 / 42

页数：16

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