The Z-Transform Method and Delta Type Fractional Difference Operators
Joint Authors
Wyrwas, Małgorzata
Mozyrska, Dorota
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The Caputo-, Riemann-Liouville-, and Grünwald-Letnikov-type difference initial value problems for linear fractional-order systems are discussed.
We take under our consideration the possible solutions via the classical Z-transform method.
We stress the formula for the image of the discrete Mittag-Leffler matrix function in the Z-transform.
We also prove forms of images in the Z-transform of the expressed fractional difference summation and operators.
Additionally, the stability problem of the considered systems is studied.
American Psychological Association (APA)
Mozyrska, Dorota& Wyrwas, Małgorzata. 2015. The Z-Transform Method and Delta Type Fractional Difference Operators. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060793
Modern Language Association (MLA)
Mozyrska, Dorota& Wyrwas, Małgorzata. The Z-Transform Method and Delta Type Fractional Difference Operators. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060793
American Medical Association (AMA)
Mozyrska, Dorota& Wyrwas, Małgorzata. The Z-Transform Method and Delta Type Fractional Difference Operators. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060793
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060793