# Existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions and a parameter

## TL;DR

This paper investigates the existence of positive solutions for a specific class of conformable fractional differential equations with integral boundary conditions, employing Green's function and fixed point theorems.

## Contribution

It introduces new existence results for positive solutions of conformable fractional differential equations with integral boundary conditions using fixed point theory.

## Key findings

- Established conditions for the existence of positive solutions.
- Provided examples illustrating the theoretical results.
- Extended the application of fixed point theorems to fractional differential equations.

## Abstract

In this paper, we study the existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions. By using the properties of the Green's function and the fixed point theorem in a cone, we obtain some existence results of positive solution. we also provide some examples to illustrate our results.