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...
- Autores:
-
Abadias, Luciano
Alvarez, Edgardo
Díaz , Stiven
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2021
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/9214
- Acceso en línea:
- https://hdl.handle.net/11323/9214
https://doi.org/10.1016/j.jmaa.2021.125741
https://repositorio.cuc.edu.co/
- Palabra clave:
- Subordination formula
Scaled Wright function
Fractional difference equations
Large-time behavior
Decay of solutions
Discrete fundamental solution
- Rights
- embargoedAccess
- License
- © 2021 Elsevier Inc. All rights reserved.
| 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. |
|---|