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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.

34A08Fractional differential equations
34G25Evolution inclusions
34B15Nonlinear boundary value problems for ODE
47N20Applications of operator theory to differential and integral equations
Full Text: DOI
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