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- W2149247177 abstract "In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup. New criterions, ensuring the existence of mild solutions, are established. The results are obtained by using the theory of operator families associated with the function of Wright type and the semigroup generated by A, Krasnoselkii's fixed point theorem and Schauder's fixed point theorem. An application to a fractional partial integro-differential equation with nonlocal initial condition is also considered. Mathematics subject classification (2000) 26A33, 34G10, 34G20" @default.
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- W2149247177 date "2011-08-16" @default.
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- W2149247177 title "Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm" @default.
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- W2149247177 doi "https://doi.org/10.1186/1687-1847-2011-25" @default.
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