Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference
Author
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has been investigated.
We compare the classical notion of stability to the notion of initial time difference stability for fractional-order differential equations in Caputo's sense.
We present a comparison result which again gives the null solution a central role in the comparison fractional-order differential equation when establishing initial time difference stability of the perturbed fractional-order differential equation with respect to the unperturbed fractional-order differential equation.
American Psychological Association (APA)
Yakar, Coşkun. 2010. Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-496831
Modern Language Association (MLA)
Yakar, Coşkun. Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference. Abstract and Applied Analysis No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-496831
American Medical Association (AMA)
Yakar, Coşkun. Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-496831
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496831