A subordination principle on wright functions and regularized resolvent families

Abadias, L. (Universidad de Zaragoza) ; Miana, P. J. (Universidad de Zaragoza)

Resumen: We obtain a vector-valued subordination principle for -regularized resolvent families which unified and improves various previous results in the literature. As a consequence, we establish new relations between solutions of different fractional Cauchy problems. To do that, we consider scaled Wright functions which are related to Mittag-Leffler functions, the fractional calculus, and stable Lévy processes. We study some interesting properties of these functions such as subordination (in the sense of Bochner), convolution properties, and their Laplace transforms. Finally we present some examples where we apply these results.

Idioma: Inglés

DOI: 10.1155/2015/158145

Año: 2015

Publicado en: Journal of Function Spaces 2015 (2015), [9 pp.]
ISSN: 2314-8896

Factor impacto JCR: 0.426 (2015)

Categ. JCR: MATHEMATICS, APPLIED rank: 227 / 254 = 0.894 (2015) - Q4 - T3
Categ. JCR: MATHEMATICS rank: 248 / 311 = 0.797 (2015) - Q4 - T3

Factor impacto SCIMAGO: 0.485 - Analysis (Q3)

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)