Numerical Analysis of RLC Electrical Circuits Using Caputo Fractional Differential Operator

Abstract

Fractional differential operators deal with derivatives of arbitrary order. In general the solution of a fractional differential equation involves the Mittag-Leffler function. In this paper we discuss the analytical and numerical solution of the fractional differential equation associated with the RLC electrical circuit by applying the Caputo fractional differential operator. The solution obtained is expressed in terms of three parameter Mittag-Leffler function. Here we prove the existence and uniqueness of the solution to the fractional differential RLC electrical circuit and also provide numerical examples to show the accuracy and efficiency of the method used.