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Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space. (English) Zbl 1272.34007
Summary: 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 differential equations 34G25 Evolution inclusions 34B15 Nonlinear boundary value problems for ODE 47N20 Applications of operator theory to differential and integral equations
Full Text:
##### References:
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