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The main goal in this paper is to study asymptotic behaviour in L(R) for the solutions of the fractional version of the discrete in time N -dimensional diffusion equation, which… Click to show full abstract
The main goal in this paper is to study asymptotic behaviour in L(R) 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.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022
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