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Licensed Unlicensed Requires Authentication Published by De Gruyter May 23, 2020

The method of upper and lower solutions for integral boundary value problem of semilinear fractional differential equations with non-instantaneous impulses

  • Mengrui Xu EMAIL logo , Shurong Sun and Zhenlai Han
From the journal Mathematica Slovaca

Abstract

In this paper, we investigate a class of semilinear fractional differential equations with non-instantaneous impulses and integral boundary value conditions. By the method of upper and lower solutions combined with Amann three-solution theorem, existence results of at least three solutions are obtained.


This work was supported by the Natural Science Foundation of China (61703180, 61803176), Shandong Provincial Natural Science Foundation (ZR2016AM17, ZR2017MA043).


  1. Communicated by Michal Fečkan

Acknowledgement

The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript.

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Received: 2018-07-08
Accepted: 2020-01-12
Published Online: 2020-05-23
Published in Print: 2020-06-25

© 2020 Mathematical Institute Slovak Academy of Sciences

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