A fractional derivative inclusion problem via an integral boundary condition (Q2792524)

The paper investigates the existence of solutions to fractional differential inclusion problems involving Caputo-type fractional differential operators, via boundary value problems of the type \(x(0)=0\) and \(x(1)=\int_0^\eta x(s)ds\). The authors begin by providing some background and some basic technical results and the main part of the paper is concerned with the detailed existence theory. The paper concludes with an example showing the applicability of the theoretical results.