Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence-Reference-Cited by-同舟云学术

Existence of Solutions for a Periodic Boundary ValueProblem with Impulse and Fractional Derivative Dependence

Published:2020-12-28 Issue: Volume:2020 Page:1-16
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Li Yaohong¹^ORCID,Wang Yongqing²^ORCID,O’Regan Donal³^ORCID,Xu Jiafa⁴^ORCID

Affiliation:

1. School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China

2. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China

3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, Galway, Ireland

4. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Abstract

In this paper, we present some theorems on impulsive periodic boundary value problems with fractional derivative dependence. In particular, we discuss the existence of solutions of a class of fractional-order impulsive periodic boundary values with nonlinear terms and impulsive terms satisfying certain growth conditions. Three examples are provided to illustrate our results.

Funder

University Natural Science Foundation of Anhui Provincial Education Department

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2020/6625056.pdf

Reference43 articles.

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2. Positive solutions of higher order fractional integral boundary value problem with a parameter

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