Title
Existence and uniqueness of solutions for random fuzzy fractional integral and differential equations
Abstract
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.
Year
DOI
Venue
2015
10.3233/IFS-141368
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Fractional differential equations,fuzzy differential equations,random fuzzy fractional differential equation
Uniqueness,Differential equation,Applied mathematics,Discrete mathematics,Mathematical analysis,Fuzzy logic,Fractional calculus,Mathematics
Journal
Volume
Issue
ISSN
29
1
1064-1246
Citations 
PageRank 
References 
6
0.47
8
Authors
3
Name
Order
Citations
PageRank
Vasile Lupulescu11048.17
Le Si Dong2101.25
Ngo Van Hoa310213.95