A novel fractional delayed matrix cosine and sine
type: Item
instance of: scholarly article
title: A novel fractional delayed matrix cosine and sine
zbMATH Open document ID: 1416.34059
published in: Applied Mathematics Letters
publication date: 2019-04-26T00:00:00Z
review text: The author introduces a new fractional delayed matrix cosine/sine and gives some properties of the delayed matrix. By using these properties and the variation of parameters method, the author gives the representation formula for a solution to the initial value problem for a Riemann-Liouville sequential fractional linear time-delay system with order $\alpha\in (1/2,1]$.
reviewed by: Shaochun Ji
Mathematics Subject Classification ID: 34K37
zbMATH DE Number: 7048127
zbMATH Keywords: Riemann-Liouville fractional differential systems
zbMATH Keywords: delayed matrix cosine
zbMATH Keywords: delayed matrix sine
author: Nazim Idrisoglu Mahmudov
MaRDI profile type: Publication
full work available at URL: j.aml.2019.01.001
OpenAlex ID: W2910688993
cites work: Representation of a solution of the Cauchy problem for an oscillating system with pure delay
cites work: Control of oscillating systems with a single delay
cites work: Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices
cites work: On systems of linear fractional differential equations with constant coefficients
cites work: Representation of a solution for a fractional linear system with pure delay
cites work: Controllability of nonlinear delay oscillating systems
cites work: Finite‐time stability of a class of oscillating systems with two delays
cites work: Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees
cites work: Relative Controllability in Systems with Pure Delay
cites work: Fredholm's boundary-value problems for differential systems with a single delay
cites work: Boundary value problems for delay differential systems
cites work: Boundary-value problems for weakly nonlinear delay differential systems
cites work: Representation of solutions of discrete linear delay systems with non-permutable matrices
Wikidata QID: Q128563858
DOI: 10.1016/J.AML.2019.01.001
description: scientific article; zbMATH DE number 7048127