MR2538276 Rico ZACHER Rico ZACHER Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces Funkcialaj Ekvacioj. Serio Internacia 52 2009 1--18 http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-1/52_1.pdf http://www.ams.org/mathscinet-getitem?mr=MR2538276 We prove existence and uniqueness of weak solutions to certain abstract evolutionary integro-differential equations in Hilbert spaces, including evolution equations of fractional order less than $1$. Our results apply, e.g., to parabolic partial integro-differential equations in divergence form with merely bounded and measurable coefficients. Weak solution, Integro-differential equation, Fractional derivative, Galerkin method. 45N05, 45K05. 52-1 2009 Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces Rico ZACHER Rico ZACHER
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