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Existence and attractiveness of solutions of a functional integral equation of fractional order. (Chinese. English summary) Zbl 1289.45007

Summary: The existence and the attractiveness of solutions of a functional integral equation of fractional order with deviating arguments are studied. By virtue of suitable conjunction of the well-known measure, sufficient conditions of the existence and the attractiveness of solutions of this equation are obtained.

MSC:

45G10 Other nonlinear integral equations
26A33 Fractional derivatives and integrals
47H08 Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.