Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity

Abstract

Abstract In this paper, we investigate the existence of positive solutions for a class of high order fractional differential equation integral boundary value problems with changing sign nonlinearity. By applying cone expansion and cone compression fixed point theorem, we have obtained and proved theorems related to the existence of positive solutions, which highlight the influences of the parameters in different ranges on the existence of positive solutions. Finally, we also give some examples to illustrate our main results.

Keywords

• high order Riemann-Liouville fractional derivative
• changing sign nonlinearity
• Riemann-Stieltjes integral boundary value problems
• fixed point theorem