In this paper, we study a numerical method for solving Nth-Order fuzzy differential equation (NOFDE). A Characterization Theorem that is presented shows that the NOFDE is equivalent to system of ODEs. So the numerical method for ODE can be used for NOFDE. Two examples are provided.

Variational iteration method is introduced to solve two-point boundary value problem for a second order fuzzy differential equation under generalized Hukuhara differentiability. To illustrate the ability and reliability of the method, some examples are given, revealing its effectiveness and simplicity.

In this paper, solution of fuzzy differential equation under general differentiability is obtained by genetic programming (GP). The obtained solution in this method is equivalent or very close to the exact solution of the problem. Accuracy of the solution to this problem is qualitatively better. An illustrative numerical example is presented for the proposed method. Keywords—Fuzzy differential ...

In this paper, fuzzy dynamical system is introduced via fuzzy differential equation. Some examples are illustrated the existence of such system. Some concepts about stability are introduced to evaluate a fuzzy dynamical system.

This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given.

The problem of algebraic dependence solutions to (non-linear) first order autonomous equations over an algebraically closed field characteristic zero is given a ‘complete’ answer, obtained independently model theoretic results on differentially fields. Instead, the geometry curves and generalized Jacobians provides key ingredient. Classification formal are treated. applied answer question $...

With reasonable control selections on the space of functions, various application models can take the shape of a well-defined control system on mathematics. In the credibility space, controlability management of fuzzy differential equation is as much important issue as stability. This paper addresses exact controllability for abstract fuzzy differential equations in the credibility space in the...

In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.

In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated. First, we obtain the dual equations associated with the Sturm-Liouville equation. Then, we prove the uniqueness theorem for the solutions of dual initial value problems.