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Dr. Mourad Samir abdallah Mohmmed Semary :: Publications: |
Title: | Fractional discrete Temimi–Ansari method with singular and nonsingular operators: applications to electrical circuits |
Authors: | Aisha F Fareed, Menna TM Elbarawy, Mourad S Semary |
Year: | 2023 |
Keywords: | Not Available |
Journal: | Advances in Continuous and Discrete Models |
Volume: | Not Available |
Issue: | Not Available |
Pages: | Not Available |
Publisher: | Not Available |
Local/International: | International |
Paper Link: | Not Available |
Full paper | Not Available |
Supplementary materials | Not Available |
Abstract: |
he goal of this article is to present a recently developed numerical approach for solving fractional stochastic differential equations with a singular Caputo kernel and a nonsingular Caputo–Fabrizio and Atangana–Baleanu (ABC) kernel. The proposed method is based on the discrete Temimi–Ansari method, which is combined with three different numerical schemes that are appropriate for the new fractional derivative operators. The proposed technique is used to investigate the effects of Gaussian white-noise and Gaussian colored-noise perturbations on the potential source and resistance in fractional stochastic electrical circuits. The proposed method’s robustness and |