A new exploration on existence of fractional neutral integro- differential equations in the concept of Atangana–Baleanu derivative

In this paper, we investigate a new fractional derivative with Mittag Leffler kernels (AB-derivative) to the fractional neutral integro-differential equations in Banach spaces. The results are based on fixed point theorems, then we implement a suitable examples and illustrate it by graphical methods with variation of fractional order. •We consider fractional neutral integro-differential equations with AB-derivatives.•Utilizing fixed point techniques, we examine the existence results in Banach spaces.•Moreover, we investigate numerical outcomes for various values of the fractional order.