## Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order.(English)Zbl 1214.34009

Sufficient conditions for the existence and uniqueness of a solution to an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order $$\alpha \in (2,3]$$ are presented. The main tools are some well-known fixed point theorems. Two examples are given to demonstrate the main results.

### MSC:

 34A08 Fractional ordinary differential equations 34B37 Boundary value problems with impulses for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations
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### References:

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