Analysis of fractional capacitor and coil by the use of the Conformable Fractional Derivative and Caputo definitions

Abstract

This paper deals with the analysis of the electrical circuit with the fractional capacitor as well as the coils described by the fractional order state space equations in the transient state. There are two types of definitions of fractional derivative used in the fractional state space equations which are general solutions. These are the Conformable Fractional Derivative and the Caputo fractional order which are the given cases in different fractional orders. The results show the different voltage's across the super capacitor and current in the coil. The solutions where obtained by using CFD and Caputo definitions using the numerical method.