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Existence results for fractional order semilinear integro-differential evolution equations with infinite delay. (English) Zbl 1198.45009

This paper concerns some existence results for the mild solutions of fractional order semilinear integro-differential evolution equations with infinite delay. The approach is based on Banach’s contraction principle, a nonlinear alternative of the Leray-Schauder type and Krasnoselskii-Schaefer type fixed point theorems.

MSC:

45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals
45G10 Other nonlinear integral equations
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