Fractional diffusion equation described by the Atangana-Baleanu fractional derivative and its approximate solution

In this paper, we propose the approximate solution of fractional diffusion equation described by a non-singular derivative. We use Atangana-Baleanu-Caputo derivative in our studies. The integral balance methods as heat method introduced Goodman and double developed Hristov have been used for getting solution. existence uniqueness provided. analyze impact operator process. represent graphically equation.