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 existence of mild solutions of a nonconvex evolution inclusion

We prove a Filippov type existence theorem for mild solutions of a nonconvex evolution inclusion by applying the contraction principle in the space of selections of the multifunction instead of the space of solutions

A note on the solutions of a second-order evolution inclusion in non separable Banach spaces

summary:We consider a Cauchy problem associated to a second-order evolution inclusion in non separable Banach spaces under Filippov type assumptions and we prove the existence of mild solutions