Advantage of gH-difference on the nth- fuzzy linear differential equations with constant coefficients

Abstract

In this article using the concept of generalized Hukuhara difference, the nth-order fuzzy differential equation problem with constant coefficients will be solved. Then the solution will be compared in two cases. The first case is the one where displacement is not performed. It means that right side of nth-order fuzzy differential equation not transfer to the left side. The second case is the one where displacements is performed by applying generalized Hukuhara difference concept. We show that forcing term under gH-difference dose not exist when a displacement is not performed and the solution of bout fuzzy differential equations is the same considering gH- difference. Finally, we present more examples for the second-order fuzzy differential equation with constant coefficients.