Initial value problem for second-order random fuzzy differential equations

Ho Vu, Le Si Dong
2015 Advances in Difference Equations  
In this paper the second-order random fuzzy differential equations (SRFDEs) under generalized Hukuhara differentiability are introduced. Under suitable conditions we obtain the existence and uniqueness results of solutions to an SRFDE. To prove this assertion we use the idea of successive approximations. Some examples are given to illustrate these results. Keywords: fuzzy random variables; random fuzzy differential equations; second-order random fuzzy differential equations; generalized
more » ... generalized Hukuhara derivative for case (i-ii)-differentiability, and Z   (t, ω) =
doi:10.1186/s13662-015-0710-5 fatcat:bgv5zrpu4fhahp7dio7kezbb2q