Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks

摘要

Highlights ? The approximate solutions of fractional differential equations using a new approach based on artificial neural network were studied. ? Atangana-Baleanu-Caputo fractional variable-order derivative is applied. ? R?sler oscillator and a multi-scroll system were studied. ? To show the effectiveness of the proposed neural network different performance indices were calculated. Abstract In this paper, we approximate the solution of fractional di