Existence of three solutions for a nonlinear fractional boundary value problem via a critical points theorem (Q1925469)

Summary: This paper is concerned with the existence of three solutions to a nonlinear fractional boundary value problem as follows: \((d/dt)((1/2)_0 D^{\alpha - 1}_t (^C_0D^\alpha_t u(t)) - (1/2)_t D^{\alpha - 1}_T(^C_tD^\alpha_T u(t))) + \lambda a(t)f(u(t)) = 0\), a.e. \(t \in [0, T], u(0) = u(T) = 0\), where \(\alpha \in (1/2, 1]\), and \(\lambda\) is a positive real parameter. The approach is based on a critical-points theorem established by G. Bonanno.