A note on fractional differential equations with fractional separated boundary conditions.

*(English)*Zbl 1244.34004Summary: We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed.

##### MSC:

34A08 | Fractional ordinary differential equations |

34B15 | Nonlinear boundary value problems for ordinary differential equations |

47N20 | Applications of operator theory to differential and integral equations |

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\textit{B. Ahmad} and \textit{S. K. Ntouyas}, Abstr. Appl. Anal. 2012, Article ID 818703, 11 p. (2012; Zbl 1244.34004)

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##### References:

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