Owolabi, Kolade M.Pindza, Edson2022-11-222022-11-222022-07Owolabi, K.M. & Pindza, E. 2022, 'Numerical simulation of chaotic maps with the new generalized Caputo-type fractional-order operator', Results in Physics, vol. 38, aert. 105563, pp. 1-12, https://doi.org/10.1016/j.rinp.2022.105563.2211-3797 (online)10.1016/j.rinp.2022.105563https://repository.up.ac.za/handle/2263/88409This work considers a new generalized operator which is based on the application of Caputo-type fractional derivative is applied to model a number of nonlinear chaotic phenomena, such as the Oiseau mythique Bicéphale, Oiseau mythique and L’Oiseau du paradis maps. Numerical approximation of the generalized Caputo-type fractional derivative using the novel predictor–corrector scheme, which indeed is regarded as an extension of a well-known Adams–Bashforth–Moulton classical-order algorithm. A range of new strange chaotic wave propagation was observed for various maps with varying fractional parameters.en© 2022 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/).Chaotic mapsGeneralized Caputo-type derivativePredictor–corrector methodNumerical simulationsArticle