Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance-Reference-Cited by-同舟云学术

Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance

Published:2016 Issue: Volume:2016 Page:1-8
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Hu Lei¹^ORCID

Affiliation:

1. School of Science, Shandong Jiaotong University, Jinan 250357, China

Abstract

By Leggett-Williams norm-type theorem for coincidences due to O’Regan and Zima, we discuss the existence of positive solutions to fractional order with periodic boundary conditions at resonance. At last, an example is presented to demonstrate the main results.

Funder

Science Foundation of Shandong Jiaotong University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2016/9260726.pdf

Reference19 articles.

1. Mathematics in Science and Engineering,1999

2. Fractional order adaptive high-gain controllers for a class of linear systems

3. Mathematical modeling of time fractional reaction–diffusion systems

4. Fractional calculus in viscoelasticity: An experimental study

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of Solutions for a Fractional Boundary Value Problem at Resonance;Armenian Journal of Mathematics;2022-12-21

2. Existence of Multiple Positive Solutions for a Class of Nonlinear Fourth-Order Boundary Value Problems;Pure Mathematics;2022

3. A note on fractional Duhamel’s principle and its application to a class of fractional partial differential equations;Applied Mathematics Letters;2017-02