Comparison Of The Mittag-Leffler Function And Laguerre Functions For Evaluating The Inverse Laplace Transform

Abstract

This paper focuses on the evaluation inverse Laplace transform of the fractional order transfer functions. There are shown two methods how to compute inverse Laplace transform. First method uses Mittag-Leffler functions and the second method employs generalized Laguerre functions. These methods will be also compared.