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| DOI | 10.1007/S00028-011-0131-1 | ||||
| Año | 2012 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Many phenomena in mathematical physics and in the theory of stochastic processes are recently described through fractional evolution equations. We investigate a general framework for connections between ordinary non-homogeneous equations in Banach spaces and fractional Cauchy problems. When the underlying operator generates a strongly continuous semigroup, it is known, using a subordination argument, that the fractional evolution equation is well posed. In this case, we provide an explicit form of the solution involving special functions, one example being the Airy function.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Keyantuo, Valentin | Hombre |
UNIV PUERTO RICO - Estados Unidos
University of Puerto Rico - Puerto Rico Universidad de Puerto Rico - Puerto Rico |
| 2 | LIZAMA-YAÑEZ, CARLOS | Hombre |
Universidad de Santiago de Chile - Chile
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| Fuente |
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| FONDECYT |
| Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica |
| Fondo Nacional de Desarrollo CientÃfico, Tecnológico y de Innovación Tecnológica |
| Agradecimiento |
|---|
| Carlos Lizama partially supported by Fondecyt grant 1100485. |
| Mathematics Subject Classification (2000): 47D06, 35C05, 60J35, 26A33, 35K90, 34G10 Keywords: Perturbed fourth order PDEs, Cauchy problem, Iterated Brownian motion, Caputo derivative, C0-semigroups, PDE connection, α-Resolvent families, Wright function. Carlos Lizama partially supported by Fondecyt grant 1100485. |