Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives

Analytical solutions of the first and second model of Hristov fractional diffusion equations based on the non-singular Atangana-Baleanu derivative have been developed. The solutions are based on an integral method based on the consequent application of the Fourier and Laplace transforms. Particular cases of Hristov fractional diffusion equations considering operators with orders converging to unity have been analyzed, too.