On Fuzzy Solution for Exact Second Order Fuzzy Differential Equation

General Solution for Fuzzy Linear Second Order Differential Equation Using First Solution

The fuzzy linear second order equations with fuzzy initial values are investigatedin this paper. The analytic general solution solutions of them usinga rst solution is founded. The parametric form of fuzzy numbers is appliedto solve the second order equations. General solutions for fuzzy linear secondorder equations with fuzzy initial values are investigated and formulatedin four cases. A examp...

Initial value problems for second order hybrid fuzzy differential equations

Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia

A method for solving first order fuzzy differential equation

Adomian method for second-order fuzzy differential equation

In this paper, we study the numerical method for solving second-order fuzzy differential equations using Adomian method under strongly generalized differentiability. And, we present an example with initial condition having four different solutions to illustrate the efficiency of the proposed method under strongly generalized differentiability. Keywords—Fuzzy-valued function, Fuzzy initial value...

Numerical Solution of a Boundary Value Problem for a Second Order Fuzzy Differential Equation*

Two-point boundary value problem is considered for a second order fuzzy differential equation. This problem is reformulated to four different system of crisp boundary value problems, when fuzzy derivative is considered as a generalization of the Hderivative [1]. So, this problem has four different solutions. Numerical solution of each system is obtained by applying the shooting method. Numerica...

Fuzzy collocation methods for second- order fuzzy Abel-Volterra integro-differential equations

In this paper we intend to offer new numerical methods to solve the second-order fuzzy Abel-Volterraintegro-differential equations under the generalized $H$-differentiability. The existence and uniqueness of thesolution and convergence of the proposed methods are proved in details and the efficiency of the methods is illustrated through a numerical example.