Existence and uniqueness of fuzzy control integro- differential equation with perturbed Phuong-N, Phung-N-N and Vu-H

The fuzzy set theory introduced by Zadeh has emerged as an interesting and fascinating branch of pure and applied sciences. The applications of fuzzy set theory can be found in many branches of regional, physical, mathematical, differential equations andengineering sciences. Recently, the authors have made important research results in the theory of fuzzy differentialequations, integrodifferential equations, fuzzy integro-differential equations, ... The fuzzy integro-differential equation in parametric form is converted to its related crisp form and the variational iteration method is used to approximate the solution of crisp integrodifferential equation. Convergence of the obtained solution to exact solution is considered (see [3]). T. Allahviranloo et al considered the existence and uniqueness of solutions of fuzzy Volterra integrrodifferential equations of the second kind with fuzzy kernel under strongly generalized differentiability. The authors studied fuzzy set control differential equations (FSCDE) and the problem of stability and controllability of FSCDE (see [5]). In [6], the authors consider the existence of solutions of perturbed fuzzy integro differential equations