Fractional discrete Temimi–Ansari method with singular and nonsingular operators: applications to electrical circuits

Abstract The goal of this article is to present a recently developed numerical approach for solving fractional stochastic differential equations with singular Caputo kernel and nonsingular Caputo–Fabrizio Atangana–Baleanu (ABC) kernel. proposed method based on the discrete Temimi–Ansari method, which combined three different schemes that are appropriate new derivative operators. technique used investigate effects Gaussian white-noise colored-noise perturbations potential source resistance in electrical circuits. method’s robustness efficiency were demonstrated by comparing its results those Runge–Kutta (SRK). valuable point resulting scheme able combine two powerful methods can be extended into more complex models. comparison derivatives using Mathematica 12 software has been obtained simulation demonstrate merit contributed method.