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 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...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2021 |
| Country: | Colombia |
| Institution: | Corporación Universidad de la Costa |
| Repository: | Repositorio REDICUC |
| Language: | English |
| OAI Identifier: | oai:repositorio.cuc.edu.co:11323/9214 |
| Online Access: | https://hdl.handle.net/11323/9214 https://doi.org/10.1016/j.jmaa.2021.125741 https://repositorio.cuc.edu.co/ |
| Access Level: | Embargoed access |
| Keyword: | Subordination formula Scaled Wright function Fractional difference equations Large-time behavior Decay of solutions Discrete fundamental solution |
| Summary: | 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. |
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