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Existence of solutions for fractional differential equations with multi-point boundary conditions. (English) Zbl 1245.35153
Summary: We discuss the existence of solutions for a nonlinear multi-point boundary value problem of integro-differential equations of fractional order q(1,2]. Our analysis relies on the contraction mapping principle and the Krasnoselskii’s fixed point theorem. An example is provided to illustrate the theory.
MSC:
35R35Free boundary problems for PDE
35A01Existence problems for PDE: global existence, local existence, non-existence
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