Existence of solutions to a coupled system of fractional differential equations with infinite-point boundary value conditions at resonance

Lei Hu

doi:10.1186/s13662-016-0924-1

Abstract

By means of coincidence degree theory, we present an existence result for the solution of a higher-order coupled system of nonlinear fractional differential equations with infinite-point boundary conditions at resonance.

Highlights

We investigate the existence of solutions for the following higher-order coupled fractional differential equation with infinite-point boundary value conditions:
Hu Advances in Difference Equations (2016) 2016:200 results on the existence of solutions for fractional boundary value problems at resonance are concerned with finite points
In [ ], Ge et al considered the existence of solutions of the following nonlinear fractional differential equation with infinitely many points boundary value problems at resonance:

Summary

Introduction

We investigate the existence of solutions for the following higher-order coupled fractional differential equation with infinite-point boundary value conditions:. Hu Advances in Difference Equations (2016) 2016:200 results on the existence of solutions for fractional boundary value problems at resonance are concerned with finite points. Wang et al [ ] discussed the following coupled system of fractional m-point boundary value problem at resonance:. In [ ], Liu et al discussed the following boundary value problem for a coupled system of fractional differential equations at resonance: Dp + Dq +. In , Zhang [ ] considered the existence of positive solutions of the following nonlinear fractional differential equation with infinite-point boundary value conditions:. In [ ], Ge et al considered the existence of solutions of the following nonlinear fractional differential equation with infinitely many points boundary value problems at resonance:.

Main results

Example