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Existence of solutions for fractional integro-differential equation with multipoint boundary value problem in Banach spaces. (English) Zbl 1296.47110

Summary: By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.

MSC:

47N20 Applications of operator theory to differential and integral equations
45J05 Integro-ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A08 Fractional ordinary differential equations
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