Approximate Solutions of Fractional Order Differential-Algebraic Equations

The main theme of this thesis is oriented about two objectives the first one is to study the fundamental concepts of the differentialalgebraic equations and the fractional calculus which are needed for finding the approximate solution of the differential-algebraic equations of fractional order. The second objective is to approximate the solution of the differential-algebraic equations of fractional order using two approximate methods which are so called the differential transform method and the Adomian decomposition method both of these methods expressed the solution of the differential-algebraic equations of fractional order as an infinite series in which its coefficients can be evaluated in a very simple way.