On the positive solutions for IBVP of conformable differential equations

Abstract

A problem with integral boundary conditions (IBVP) involving conformable fractional derivatives is considered in this article. The upper and lower solutions technique is used to discuss the existence and uniqueness of positive solutions. The fixed point Theorem of Schauder proves the existence of positive solutions, and the fixed point Theorem of Banach proves the uniqueness of solutions. Our results are illustrated by an example.

Keywords

• ibvp
• positive solutions
• fixed point
• conformable differential equations