Exact solution for damped RLC circuit equation using Caputo’s definition

Abstract EN

In this work, we propose fractional differential equations for the damping motion of the RLC circuit.

As an exact general solution in terms of Mittag-Leffler function is obtained for the fractional differential equations by employing Laplace transform of fractional order technique.

The time evolution of the general solution for the oscillatory motion, the damping and the dissipative behavior were all observed for the general solution when Laplace transform of fractional order is applied for this circuit.