Solvability for a Hadamard-type fractional integral boundary value problem

Abstract

In this paper, we study an integral boundary value problem involving a Hadamard-type fractional differential equation. Using fixed point theory and upper-lower solutions, we present some sufficient conditions to obtain existence theorems of positive solutions for the problem. Examples are provided to illustrate our results.

Keywords

• Hadamard-type fractional differential equations
• integral boundary value problems
• positive solutions
• fixed point methods
• upper-lower solution methods