Existence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem

Abstract EN

This paper is concerned with the existence of three solutions to a nonlinear fractional boundary value problem as follows: (d/dt)((1/2)0Dtα-1(0CDtαu(t))-(1/2)tDTα-1(tCDTαu(t)))+λa(t)f(u(t))=0, a.e. t∈[0,T],u(0)=u(T)=0, where α∈(1/2,1], and λ is a positive real parameter.

The approach is based on a critical-points theorem established by G.

Bonanno.