Stability analysis of electrical RLC circuit described by the Caputo-Liouville generalized fractional derivative

We consider an electrical RLC circuit in two-dimensional spaces described by a fractional-order derivative. We propose the qualitative properties of the proposed model. We ana-lyze the local asymptotic stability and the global asymptotic stability for the trivial equilibrium point for the electrical RLC circuit. We suggest the solution to the proposed model too. In our investigation, we consider the Caputo-Liouville fractional-order derivative. We use the characteris-tic matrix for the electrical RLC circuit model to analyze the local asymptotic stability of the trivial equilibrium point. For global asymptotic stability, we use the Lyapunov function method by con-structing a Lyapunov function. (C) 2020 The Author. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).