Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s
| Data(s) |
11/06/2012
11/06/2012
2010
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| Resumo |
Mathematics Subject Classification 2010: 26A33, 33E12, 35S10, 45K05. We give the proofs of the existence and regularity of the solutions in the space C^∞ (t > 0;H^(s+2) (R^n)) ∩ C^0(t ≧ 0;H^s(R^n)); s ∊ R, for the 1-term, 2-term,..., n-term time-fractional equation evaluated from the time fractional equation of distributed order with spatial Laplace operator Δx ... |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 13, No 1, (2010), 21p-42p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Time-Fractional Diffusion-Wave Problem #Existence Theorems #Exact Solutions #Sobolev Spaces #Regularity |
| Tipo |
Article |
