Electrical Circuits RC, LC, and RLC under Generalized Type Non-Local Singular Fractional Operator

The current study is of interest when performing a useful extension crucial physical problem through non-local singular fractional operator. We provide solutions that include three arbitrary parameters α, ρ, and γ for the Resistance-Capacitance (RC), Inductance-Capacitance (LC), Resistance-Inductance-Capacitance (RLC) electric circuits utilizing generalized type operator in sense Caputo, called M-derivative. Additionally, to keep dimensionality parameter proposed model, we use an auxiliary parameter. Owing fact all depend on unlike other containing one or two literature, obtained this have more general results. On hand, order observe advantages M-derivative, comprehensive comparison carried out light experimental data. make RC circuit between M-derivative Caputo derivative. It clearly shown graphs behaves closer data thanks added γ.