First order linear fuzzy differential equations under generalized differentiability

Convergence and stability properties Euler method for solving fuzzy Stochastic differential equations

“…According to Zadeh , s extension principle, operation of addition on E is defined by 2) and scalar multiplication of a fuzzy number is given by…”

Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation

“…In the following theorem we use the results in [2] to obtain a parametrization of an FDE with GH-derivative.…”

“…Assume that the conditions of Theorem 3.1 in [2] for the solvability of the fuzzy initial value problem…”

“…The present paper aims to combine results of [1] and [2] with the parametric representation in [6] to obtain a new approximation results for fuzzy differential equations (FDE) with parametric representation. These results are used for numerically solving FDEs under the parametric representation.…”

Numerical Solution of N-Order Fuzzy Differential Equations by Runge-Kutta Method

“…Kandel and Byatt [5] applied the concept of fuzzy differential equation (FDE) to the analysis of fuzzy dynamical problems. The FDE and the initial value problem (Cauchy problem) were rigorously treated by Kaleva [6,7], Seikkala [8], He and Yi [9], Kloeden [10] and by other researchers (see [11,15]). The numerical methods for solving fuzzy differential equations are introduced in [16][17][18].…”