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2009 Fractional Evolution Equations Governed by Coercive Differential Operators
Fu-Bo Li, Miao Li, Quan Zheng
Abstr. Appl. Anal. 2009: 1-14 (2009). DOI: 10.1155/2009/438690


This paper is concerned with evolution equations of fractional order Dαu(t)=Au(t); u(0)=u0, u(0)=0, where A is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than π and 1<α<2. We show that such equations are well posed in the sense that there always exists an α-times resolvent family for the operator A.


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Fu-Bo Li. Miao Li. Quan Zheng. "Fractional Evolution Equations Governed by Coercive Differential Operators." Abstr. Appl. Anal. 2009 1 - 14, 2009.


Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1168.47036
MathSciNet: MR2516010
Digital Object Identifier: 10.1155/2009/438690

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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