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

Factor impacto JCR: 1.3 (2022)

Categ. JCR: MATHEMATICS rank: 84 / 329 = 0.255 (2022) - Q2 - T1
Categ. JCR: MATHEMATICS, APPLIED rank: 134 / 267 = 0.502 (2022) - Q3 - T2

Factor impacto CITESCORE: 2.5 - Mathematics (Q2)

Factor impacto SCIMAGO: 0.833 - Analysis (Q1) - Applied Mathematics (Q2)

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)