ON INCLUSION PROBLEMS INVOLVING CAPUTO AND HADAMARD FRACTIONAL DERIVATIVES.

In this paper, we study the existence of solutions to new inclusion prob- lems involving both Caputo and Hadamard fractional derivatives, and separated boundary conditions. We apply the modern tools of the fixed point theory to study the cases when the multi-valued map (the right hand-side of the inclusions) takes convex as well as non-convex values. Examples illustrating the abstract results are also presented. [ABSTRACT FROM AUTHOR]