The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses
type: Item
instance of: scholarly article
title: The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses
zbMATH Open document ID: 1401.34017
DOI: 10.1155/2017/3094173
author: Xianzhen Zhang
author: Zuohua Liu
author: Hui Peng
author: Xian-Min Zhang
author: Shiyong Yang
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper. An equivalent integral equation with some undetermined constants is obtained for this fractional order system with noninstantaneous impulses, which means that there is general solution for the impulsive systems. Next, an example is given to illustrate the obtained result.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 6962610
zbMATH Keywords: Caputo-Hadamard fractional differential equation
zbMATH Keywords: noninstantaneous impulses
zbMATH Keywords: equivalent integral equation
Wikidata QID: Q59142431
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3094173
OpenAlex ID: W2586955574
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description: scientific article; zbMATH DE number 6962610