The new analysis of fractional-order multi-dimensional diffusion equations by ZZ transform with Mittag-Leffler Kernel (original) (raw)

In this article, two well-known analytic approaches for solving diffusion equations are implemented. We propose a modified version of the homotopy perturbation method and Adomian decomposition methods utilizing the ZZ transform. In this sense, the fractional derivative of the Atangana-Baleanu derivative. In addition, concrete examples are provided to demonstrate the precision of the proposed methodologies. The proposed solution is observed to have the desired rate of convergence towards the exact answer. The key advantage of the proposed method is the small amount of calculations. To demonstrate the validity of the suggested methods, we give graphically representation of analytical and exact solutions that are in close contact.