The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\)
type: Item
instance of: scholarly article
title: The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\)
zbMATH Open document ID: 1400.34017
DOI: 10.1155/2016/8101802
author: Xian-Min Zhang
author: Xianzhen Zhang
author: Zuohua Liu
author: Hui Peng
author: Tong Shu
author: Shiyong Yang
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: Motivated by some preliminary works about general solution of impulsive system with fractional derivative, the generalized impulsive differential equations with Caputo-Hadamard fractional derivative of \(q \in \mathbb{C}\)\ \ (\(\mathfrak{R}(q) \in(1,2)\)) are further studied by analyzing the limit case (as impulses approach zero) in this paper. The formulas of general solution are found for the impulsive systems.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 6953615
Wikidata QID: Q59141265
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8101802
OpenAlex ID: W2320979869
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description: scientific article; zbMATH DE number 6953615