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Solutions of nonlinear fractional integrodifferential equations with boundary conditions. (English) Zbl 1325.34087

Summary: A nonlinear fractional integrodifferential equation with boundary conditions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the equation is established by Krasnoselskii fixed point theorem and Banach contraction principle, respectively.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K30 Functional-differential equations in abstract spaces
47N20 Applications of operator theory to differential and integral equations
34B15 Nonlinear boundary value problems for ordinary differential equations