Abstarct: In recent years, much research has been focused on the numerical solution of differential-algebraic equations by semi-analytical methods. In this thesis, semianalytical suitable methods for fractional differential-algebraicl equations were checked. Some of these methods are Variational Iteration method, Adomian Decomposition method and Homotopy analisys method. Most fractional differential-algebraic equations do not have exat analytic soulotion and classical methods for solving these equations are very complex and in some cases are impossible, so we try to obtain approximate solutions of fractional differential-algebraic equations with semi-analytical methods. The first chapter introduces the basic concepts of differential equations of order fractional. Variational iteration methods are introduced in details and its use of fractional differential-algebraic equations are expressed in chapter two, Then we provide a numerical example at the end of the second chapter. In the third chapter, adomian decomposition method is introduced and application of this method in differential differential-algebraic equations with a few examples are indicated. In the fourth chapter, we describe basic concepts of Homotopy analysis method, then we introduce the Homotopy analysis in the fractional differential-algebraic equations, and this chapter is ended with some numerical examples.