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Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems. (English) Zbl 1267.45020
Summary: Sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces are presented using fractional calculus, resolvent operators, and the Banach fixed point theorem. As an application that illustrates the abstract results, a nonlocal impulsive quasilinear multi-delay integro-partial differential system of fractional order is given.

MSC:
45N05 Abstract integral equations, integral equations in abstract spaces
45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals
45G10 Other nonlinear integral equations
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