Analytic study on linear systems of distributed order fractional differential equations
In this paper we introduce the distributed order fractional differential equations (DOFDE) with respect to the nonnegative density function. We generalize the inertia and characteristics polynomial concepts of pair $(A,B)$ with respect to the nonnegative density function. We also give generalizati...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2012-11-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/841 |
| _version_ | 1828811157931032576 |
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| author | Amirhossein Refahi A. Ansari H. Saberi Najafi Farshid Merhdoust |
| author_facet | Amirhossein Refahi A. Ansari H. Saberi Najafi Farshid Merhdoust |
| author_sort | Amirhossein Refahi |
| collection | DOAJ |
| description | In this paper we introduce the distributed order fractional differential equations (DOFDE) with respect to the nonnegative density function. We generalize the inertia and characteristics polynomial concepts of pair $(A,B)$ with respect to the nonnegative density function. We also give generalization of the invariant factors of a matrix and some inertia theorems for analyzing the stability of the DOFDE systems. |
| first_indexed | 2024-12-12T09:23:35Z |
| format | Article |
| id | doaj.art-f91d3f39baa5420193ff08d133ed3bfc |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-12T09:23:35Z |
| publishDate | 2012-11-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-f91d3f39baa5420193ff08d133ed3bfc2022-12-22T00:29:08ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982012-11-01672313824Analytic study on linear systems of distributed order fractional differential equationsAmirhossein Refahi0A. AnsariH. Saberi NajafiFarshid MerhdoustUniversity of GuilanIn this paper we introduce the distributed order fractional differential equations (DOFDE) with respect to the nonnegative density function. We generalize the inertia and characteristics polynomial concepts of pair $(A,B)$ with respect to the nonnegative density function. We also give generalization of the invariant factors of a matrix and some inertia theorems for analyzing the stability of the DOFDE systems.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/841Distributed fractional systemsInertia of matricesStabilizationInvariant factorsDensity function |
| spellingShingle | Amirhossein Refahi A. Ansari H. Saberi Najafi Farshid Merhdoust Analytic study on linear systems of distributed order fractional differential equations Le Matematiche Distributed fractional systems Inertia of matrices Stabilization Invariant factors Density function |
| title | Analytic study on linear systems of distributed order fractional differential equations |
| title_full | Analytic study on linear systems of distributed order fractional differential equations |
| title_fullStr | Analytic study on linear systems of distributed order fractional differential equations |
| title_full_unstemmed | Analytic study on linear systems of distributed order fractional differential equations |
| title_short | Analytic study on linear systems of distributed order fractional differential equations |
| title_sort | analytic study on linear systems of distributed order fractional differential equations |
| topic | Distributed fractional systems Inertia of matrices Stabilization Invariant factors Density function |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/841 |
| work_keys_str_mv | AT amirhosseinrefahi analyticstudyonlinearsystemsofdistributedorderfractionaldifferentialequations AT aansari analyticstudyonlinearsystemsofdistributedorderfractionaldifferentialequations AT hsaberinajafi analyticstudyonlinearsystemsofdistributedorderfractionaldifferentialequations AT farshidmerhdoust analyticstudyonlinearsystemsofdistributedorderfractionaldifferentialequations |