Generalized Fractional Evolution Equation
| Data(s) |
29/08/2010
29/08/2010
2007
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| Resumo |
2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20 In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function. The fundamental solution corresponding to the Riemann-Liouville time fractional evolution equation does not admit a probabilistic representation while for the Caputo time fractional evolution equation it is related to the inverse stable subordinators. ∗ Partially supported by: GRICES, Proco 4.1.5/Maroc; PTDC/MAT/67965/2006; FCT, POCTI-219, FEDER. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 10, No 4, (2007), 375p-398p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Generalized Functions #Convolution Product #Generalized Gross Laplacian #Riemann-Liouville Derivative #Caputo Derivative #46F25 #26A33 #46G20 |
| Tipo |
Article |
