In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

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, a decomposition theorem for a (square integrable) fuzzy random variable FRV is proposed. The paper is mainly divided in two parts. In the first part, for any FRV X, we define the Hukuhara set as the family of (deterministic) fuzzy sets C for which the Hukuhara difference X ⊖H C exists almost surely; in particular, we prove that such a family is a closed (with respect to different...

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.

This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To find properties derivative, concepts limit superior, inferior, and sublinear functions are studied in sequel. It proved that upper a gH-Lipschitz continuous function (IVF) always exists. For convex IVF, found be identical with gH-directional derivative. observed IVF. Several numerical examples provided ...

In this paper we study a fuzzy predator-prey model with functional response arctan(ax). The derivatives are approximated using the generalized Hukuhara derivative. To execute numerical simulation, use Runge-Kutta method. results obtained over time for evolution and population presented numerically graphically some conclusions.

In this article, we establish the existence and uniqueness of (c1)-differentiable (c2)- differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using contraction mappings principle. particular, are written as hyperbolic cosine sine functions with terms, which is main difficulty. An example provided prove our results.