Integrated Fractional Resolvent Operator Function and Fractional Abstract Cauchy Problem

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)=...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Ya-Ning Li, Hong-Rui Sun
Fformat:	Erthygl
Iaith:	English
Cyhoeddwyd:	Wiley 2014-01-01
Cyfres:	Abstract and Applied Analysis
Mynediad Ar-lein:	http://dx.doi.org/10.1155/2014/430418

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