TOWARD A NEW ALGORITHM FOR SYSTEMS OF FRACTIONAL DIFFERENTIAL-ALGEBRAIC EQUATIONS

Abstract

This paper is concerned with the development of an efficient algorithm for the analytic solutions of systems of fractional differential -algebraic equations (FDAE).  The proposed algorithm is an elegant combination of the Laplace transform method (LTM) with the homotopy analysis method (HAM).  The biggest advantage of the Laplace homotopy analysis method (LHAM) over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated terms.  Numerical examples are examined to highlight the significant features of this method.