On the existence and uniqueness of the solution of linear fractional differential-algebraic system
type: Item
instance of: scholarly article
title: On the existence and uniqueness of the solution of linear fractional differential-algebraic system
zbMATH Open document ID: 1400.34006
DOI: 10.1155/2016/1674725
author: Zaiyong Feng
author: Ning Chen
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The existence and uniqueness of the solution of a new kind of system -- linear fractional differential-algebraic equations (LFDAE) -- are investigated. Fractional derivatives involved are under the Caputo definition. By using the tool of matrix pair, the LFDAE in which coefficients matrices are both square matrices have unique solution under the condition that coefficients matrices make up a regular matrix pair. With the help of equivalent transformation and Kronecker canonical form of the coefficients matrices, the sufficient condition for existence and uniqueness of the solution of the LFDAE in which coefficients matrices are both not square matrices is proposed later. Two examples are given to justify the obtained theorems in the end.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 6952826
Wikidata QID: Q59131025
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1674725
OpenAlex ID: W2320900566
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description: scientific article; zbMATH DE number 6952826