Existence results for boundary-value problems with nonlinear fractional differential inclusions and integral conditions. (English) Zbl 1185.26010

Summary: The authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential inclusions involving the Caputo fractional derivative and nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered. The topological structure of the set of solutions is also examined.


26A33 Fractional derivatives and integrals
34A60 Ordinary differential inclusions
34B15 Nonlinear boundary value problems for ordinary differential equations
Full Text: EuDML EMIS