Analysis of a System for Linear Fractional Differential Equations
Joint Authors
Wang, Ping
Wang, Fang
Liu, Zhen-hai
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-09
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations Dt0qX(t)=PX(t),X(a)=B and the constant coefficient nonhomogeneous linear fractional differential equations Dt0qX(t)=PX(t)+D,X(a)=B if P is a diagonal matrix and X(t)∈C1-q[t0,T]×C1-q[t0,T]×⋯×C1-q[t0,T] and prove the existence and uniqueness of these two kinds of equations for any P∈L(Rm) and X(t)∈C1-q[t0,T]×C1-q[t0,T]×⋯×C1-q[t0,T].
Then we give two examples to demonstrate the main results.
American Psychological Association (APA)
Wang, Fang& Liu, Zhen-hai& Wang, Ping. 2012. Analysis of a System for Linear Fractional Differential Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1028753
Modern Language Association (MLA)
Wang, Fang…[et al.]. Analysis of a System for Linear Fractional Differential Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1028753
American Medical Association (AMA)
Wang, Fang& Liu, Zhen-hai& Wang, Ping. Analysis of a System for Linear Fractional Differential Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1028753
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028753