R. Sidaoui

Numerical approximation of nonlinear fractional dynamical systems for coastal wave modeling: rigorous analysis of convergence and computational efficiency

In the present work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The proposed framework is based on the Atangana-Baleanu-Caputo (ABC) fractional derivative which is able to capture memory and nonlocal effects in dynamic...