Abstract

In this paper, we study the existence of positive solutions to a class of higher-order nonlinear fractional functional differential system with Riemann-Stieltjes integral boundary conditions. Our method relies upon the upper and lower solutions and the Schauder fixed point theorem. Furthermore, we constructed an iterative scheme to approximate the positive solution. We also give an example to illustrate the main results.

Highlights

  • In, Fermi and Thomas studied the problem of how to determine the electric potential in an atom

  • They found that this problem can be translated into the following second order differential equation, that is, two point singular boundary value problems: u

  • It should be noted that most of the papers are devoted to the solvability of the existence of positive solutions for a singular differential equation boundary value problem

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Summary

Introduction

In , Fermi and Thomas studied the problem of how to determine the electric potential in an atom. They found that this problem can be translated into the following second order differential equation, that is, two point singular boundary value problems: u The differential equation singular boundary value problem and its applications in various fields of science has received much attention (see [ – ]). It should be noted that most of the papers are devoted to the solvability of the existence of positive solutions for a singular differential equation boundary value problem.

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