Abstract
In this article, we derive sufficient conditions to prove the oscillation for solutions of Caputo fractional differential equations with Mittag-Leffler nonsingular kernel of the form
{(D-ABC(a)k0 xi)(t) + phi(1)(t, xi) = theta (t) + phi(2)(t, xi), t > a xi(k)(a) = b(k) (k = 0, 1, ..., n),
where n < k(0) <= n + 1 and D-ABC(a)k0 is the left-fractional Caputo derivative with Mittag-Leffler nonsingular kernel or the Atangana-Baleanu fractional derivative in the sense of Caputo. An example is given to validate part of the proven results. (C) 2019 Elsevier Ltd. All rights reserved.