On a Caputo Fractional Differential Inclusion with Integral Boundary Condition for Convex-Compact and Nonconvex-Compact Valued Multifunctions

SH. Rezapour, V. Hedayati

In this paper, we investigate a Caputo fractional differential inclusion with integral boundary condition under different conditions. First, we investigate it for $L^{1}$-Caratheodory convex-compact valued multifunction. Then, we investigate it for nonconvex-compact valued multifunction via some conditions. Also we give two examples to illustrate our results.