Existence of solutions for a certain differential inclusion of third order

The existence of solutions of a boundary value problem for a third order differential inclusion is investigated. New results are obtained by using suitable fixed point theorems when the right hand side has convex or non convex values

On a fractional integro-differential inclusion

We study a Cauchy problem for a fractional integro-differential inclusion of order $\alpha \in (1,2]$ involving a nonconvex set-valued map. Arcwise connectedness of the solution set is provided. Also we prove that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval

On the set of solutions of a nonconvex nonclosed higher order differential inclusion

We consider a nonconvex and nonclosed higher order differential inclusion and we prove the arcwise connectedness of the solution set

On the existence of solutions for a higher order differential inclusion without convexity

We prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the contraction principle in the space of the derivatives of solutions instead of the space of solutions