Bashir Ahmad, Sina Etemad, Mina Ettefagh, Shahram Rezapour: On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions, p.119-134

Abstract:

In this paper, we investigate the existence of solutions for a nonlinear fractional q-difference inclusion: $^cD^{\alpha }_q u(t)\in F(t, u(t), D_qu(t), D^2_qu(t)), 2<\alpha \le3$ supplemented with q-antiperiodic boundary conditions for convex and non-convex multivalued maps.

Key Words: Fractional q-difference inclusion, q-antiperiodic conditions, convex or compact valued multifunction, fixed point.

2000 Mathematics Subject Classification: Primary: 34A08;
Secondary: 39A13, 34A60.