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. |