On a sign-changing solution for some fractional differential equations

Abstract

Abstract In this paper, a kind of αth ( 3 < α ≤ 4 ) $(3<\alpha\leq4)$ order differential equation with two-point boundary conditions is considered. The existence result of a sign-changing solution is given by the topological degree theory and the fixed point index theory.

Keywords

• sign-changing solution
• topological degree
• fixed point index