On the Existence and Uniqueness of the Solution of Linear Fractional Differential-Algebraic System
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Feng, Zaiyong& Chen, Ning. 2016. On the Existence and Uniqueness of the Solution of Linear Fractional Differential-Algebraic System. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1111773
Modern Language Association (MLA)
Feng, Zaiyong& Chen, Ning. On the Existence and Uniqueness of the Solution of Linear Fractional Differential-Algebraic System. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1111773
American Medical Association (AMA)
Feng, Zaiyong& Chen, Ning. On the Existence and Uniqueness of the Solution of Linear Fractional Differential-Algebraic System. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1111773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111773