## A uniqueness criterion for fractional differential equations with Caputo derivative.(English)Zbl 1268.34008

Summary: We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order $$\alpha \in (0,1)$$. The differential operator is of Caputo type whereas the nonlinearity cannot be expressed as a Lipschitz function. Instead, the Riemann-Liouville derivative of this nonlinearity verifies a special inequality.

### MSC:

 34A08 Fractional ordinary differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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### References:

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