Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem

Abstract

In this work, we investigate a Riemann-Liouville-type impulsive fractional integral boundary value problem. Using the fixed point index, we obtain two existence theorems on positive solutions under some conditions concerning the spectral radius of the relevant linear operator. Our method improves and generalizes some results in the literature.

Keywords

• fractional-order differential equations
• integral boundary value problems
• impulse
• positive solutions
• fixed point index