On a fractional differential inclusion with nonlocal Riemann-Liouville type integral boundary conditions

Abstract

We study the existence of solutions for fractional differential inclusions
of order q ∈ (1; 2] with four-point nonlocal Riemann-Liouville
integral boundary conditions. We establish Filippov type existence
results in the case of nonconvex set-valued maps.
Key words: fractional differential inclusion, Caputo fractional derivative,
boundary value problem, integral boundary conditions.