Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space.

*(English)*Zbl 1272.34007Summary: We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders \(2 < \alpha < 3\) involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multivalued analysis.

##### MSC:

34A08 | Fractional ordinary differential equations |

34G25 | Evolution inclusions |

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

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

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\textit{M. Bragdi} et al., Adv. Math. Phys. 2013, Article ID 426061, 5 p. (2013; Zbl 1272.34007)

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