This paper proposes an approximation scheme for electrical circuit models based on the Riemann–Liouville fractional-order derivative. We have considered the derivative’s order as \(0\le \epsilon \le 1\) . In this scheme, we initially compute the fractional-order modified Lucas wavelet integrative operational matrix. Subsequently, we employ this approximation technique to transform the equations of fractional-order electrical circuits into a well-established algebraic system, leveraging the fractional-order modified Lucas wavelet integrative operational matrix. This scheme is applied to various fractional electrical circuits including RC, LC, RL and RLC, get good approximate solution. To evaluate the performance of the proposed scheme, we conduct a comparative analysis with existing fractional approximation schemes employing Legendre and Bernoulli wavelets. Our results demonstrate that the proposed scheme performs better than Legendre and Bernoulli wavelets fractional approximation scheme.
