Eigenvalue intervals for a class of fractional boundary value problem

Abstract

In this paper, the following fractional ordinary differential equation boundary value problem: CD0+αu(t)+λh(t)f(u(t))=0,0<t<1,u(0)=u′(1)=u″(0)=0, is considered, where 2<α≤3 is a real number, CD0+α is the standard Caputo differentiation, λ>0. By using a fixed-point theorem on cone, the eigenvalue intervals of the problem is established.