Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses-Reference-Cited by-同舟云学术

Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

Published:2020-09-27 Issue:5 Volume:70 Page:1231-1248
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Luo Danfeng¹,Luo Zhiguo²

Affiliation:

1. Department of Mathematics , Guizhou University , Guiyang , 550025 , China

2. Key Laboratory of Computing, and Stochastic Mathematics (Ministry of Education) , School of Mathematics and Statistics, Hunan Normal University , Changsha , 410081 , China

Abstract

Abstract In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses. By the Krasnoselskii’s fixed point theorem, we present the new constructive existence results for the addressed equation. In addition, we deduce that the equations have Hyers-Ulam stable solutions by utilizing generalized Grönwall’s inequality. Some results in this literature are new and improve some early conclusions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0427/pdf

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