Some existence results for boundary value problems of fractional differential inclusions with non-separated boundary conditions

B. Ahmad, King Abdulaziz University, Jeddah, Saudi Arabia
S. K. Ntouyas, University of Ioannina, Ioannina, Greece

E. J. Qualitative Theory of Diff. Equ., No. 71. (2010), pp. 1-17.

Abstract: In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order $q \in (1,2]$ with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.

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