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Some new existence results for fractional differential inclusions with boundary conditions. (English) Zbl 1165.34313
Summary: This paper is mainly concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By using Bohnenblust-Karlin’s fixed point theorem, a main existence theorem is obtained. As an application of this main theorem, we establish two existence results when the multi-valued nonlinearity F has sub-linear or linear growth in the state variable y. Our results are even new when applied to a corresponding single-valued problem.
MSC:
34A60Differential inclusions
26A33Fractional derivatives and integrals (real functions)
34B15Nonlinear boundary value problems for ODE
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