Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
Abadías Ullod, Luciano (Universidad de Zaragoza) ; Álvarez, Edgardo ; Díaz, Stiven
Resumen: The main goal in this paper is to study asymptotic behavior in 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.
Idioma: Inglés
DOI: 10.1016/j.jmaa.2021.125741
Año: 2022
Publicado en: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 507, 1 (2022), 125741 [23 pp.]
ISSN: 0022-247X
Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
Financiación: info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2022-02-15-10:48:59)
Idioma: Inglés
DOI: 10.1016/j.jmaa.2021.125741
Año: 2022
Publicado en: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 507, 1 (2022), 125741 [23 pp.]
ISSN: 0022-247X
Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
Financiación: info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2022-02-15-10:48:59)
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Record created 2022-02-15, last modified 2022-02-15