On new approach of existence solutions for Atangana-Baleanu fractional neutral differential equations with dependence on the Lipschitz first derivatives

In this article, we establish the result on existence and uniqueness of a Atangana-Baleanu fractional neutral differential equations with dependence on the Lipschitz first derivative conditions in Banach space. These results are based on fixed point theorems. Moreover, an example is also provided to illustrate the main results.