## Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order.(English)Zbl 1197.34003

Summary: We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. As an application, some examples to illustrate our results are given.

### MSC:

 34A08 Fractional ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 45J05 Integro-ordinary differential equations
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### References:

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