Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation

The main goal in this paper is to study asymptotic behavior L p ( R N ) for the solutions of fractional version discrete time -dimensional diffusion equation, which involves Caputo h -difference operator. techniques prove results are based new subordination formulas involving Gaussian kernel, and defined via an analogue setting scaled Wright functions. Moreover, we get equivalent representation that formula by Fox H-functions.