| Autor: |
Ya-Ning Li, Hong-Rui Sun |
| Jazyk: |
angličtina |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2014, Iss 184,, Pp 1-13 (2014) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic alpha-order fractional resolvent which is defined in terms of Mittag-Leffler function and the curve integral. Then we give some properties of real analytic alpha-order fractional resolvent. Finally, based on these properties, we discuss the regularity of mild solution of a class of fractional abstract Cauchy problems with Riemann-Liouville fractional derivative. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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