Some new existence results for fractional differential inclusions with boundary conditions

Abstract: 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 has sub-linear or linear growth in the state variable . Our results are even new when applied to a corresponding single-valued problem. [Copyright &y& Elsevier]