Integrated Fractional Resolvent Operator Function and Fractional Abstract Cauchy Problem
We firstly prove that β-times integrated α-resolvent operator function ((α,β)-ROF) satisfies a functional equation which extends that of β-times integrated semigroup and α-resolvent operator function. Secondly, for the inhomogeneous α-Cauchy problem cDtαu(t)=Au(t)+f(t), t∈(0,T), u(0)=x0, u'(0)=...
| Autors principals: | , |
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| Format: | Article |
| Idioma: | English |
| Publicat: |
Wiley
2014-01-01
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| Col·lecció: | Abstract and Applied Analysis |
| Accés en línia: | http://dx.doi.org/10.1155/2014/430418 |