Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press Inc.
United States
United States
Abstract
Description
The main goal in this paper is to study asymptotic behavior in Lp(RN ) for the
solutions of the fractional version of the discrete in time N-dimensional diffusion
equation, which involves the Caputo fractional h-difference operator. The techniques to prove the results are based in new subordination formulas involving the discrete in time Gaussian kernel, and which are defined via an analogue in discrete time setting of the scaled Wright functions. Moreover, we get an equivalent representation of that subordination formula by Fox H-functions.
Keywords
Subordination formula, Scaled Wright function, Fractional difference equations, Large-time behavior, Decay of solutions, Discrete fundamental solution