Existence of solutions for fractional q -integro-difference inclusions with fractional q -integral boundary conditions

摘要

In this paper, we investigate the existence of solutions for a nonlocal boundary value problem of fractional q-integro-difference inclusions of two fractional orders with Riemann-Liouville fractional q-integral boundary conditions. A new existence result is obtained by making use of a nonlinear alternative for contractive maps and is well illustrated with the aid of an example. MSC:34A60, 34A08.