Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709947 | Applied Mathematics Letters | 2010 | 6 Pages |
Abstract
We study existence and qualitative properties of solutions for the abstract fractional relaxation equation equation(0.1)u′(t)−ADtαu(t)+u(t)=f(t),0<α<1,t≥0,u(0)=0, on a complex Banach space XX, where AA is a closed linear operator, Dtα is the Caputo derivative of fractional order α∈(0,1)α∈(0,1), and ff is an XX-valued function. We also study conditions under which the solution operator has the properties of maximal regularity and LpLp integrability. We characterize these properties in the Hilbert space case.
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Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Carlos Lizama, Humberto Prado,