Article ID Journal Published Year Pages File Type
1709947 Applied Mathematics Letters 2010 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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