Stability Analysis of Distributed Order Fractional Differential Equations
We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix w...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/175323 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549518106689536 |
|---|---|
| author | H. Saberi Najafi A. Refahi Sheikhani A. Ansari |
| author_facet | H. Saberi Najafi A. Refahi Sheikhani A. Ansari |
| author_sort | H. Saberi Najafi |
| collection | DOAJ |
| description | We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix with respect to the density function. Moreover, we check the stability of a distributed order fractional WINDMI system to illustrate the validity of proposed procedure. |
| format | Article |
| id | doaj-art-67c677936833462a96e56e6460f45649 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-67c677936833462a96e56e6460f456492025-02-03T06:11:02ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/175323175323Stability Analysis of Distributed Order Fractional Differential EquationsH. Saberi Najafi0A. Refahi Sheikhani1A. Ansari2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, IranDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, IranDepartment of Mathematics, Faculty of Sciences, Shahrekord University, P.O. Box 115, Shahrekord, IranWe analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix with respect to the density function. Moreover, we check the stability of a distributed order fractional WINDMI system to illustrate the validity of proposed procedure.http://dx.doi.org/10.1155/2011/175323 |
| spellingShingle | H. Saberi Najafi A. Refahi Sheikhani A. Ansari Stability Analysis of Distributed Order Fractional Differential Equations Abstract and Applied Analysis |
| title | Stability Analysis of Distributed Order Fractional Differential Equations |
| title_full | Stability Analysis of Distributed Order Fractional Differential Equations |
| title_fullStr | Stability Analysis of Distributed Order Fractional Differential Equations |
| title_full_unstemmed | Stability Analysis of Distributed Order Fractional Differential Equations |
| title_short | Stability Analysis of Distributed Order Fractional Differential Equations |
| title_sort | stability analysis of distributed order fractional differential equations |
| url | http://dx.doi.org/10.1155/2011/175323 |
| work_keys_str_mv | AT hsaberinajafi stabilityanalysisofdistributedorderfractionaldifferentialequations AT arefahisheikhani stabilityanalysisofdistributedorderfractionaldifferentialequations AT aansari stabilityanalysisofdistributedorderfractionaldifferentialequations |