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Existence and uniqueness theorem of fractional mixed Volterra-Fredholm integrodifferential equation with integral boundary conditions. (English) Zbl 1237.45008

Summary: We study the existence and uniqueness of the solutions of fractional mixed Volterra-Fredholm integrodifferential equations with integral boundary condition in Banach space. Our analysis is based on an application of the Krasnosel’skii fixed-point theorem.

MSC:

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